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Finding the Fourth Proportional to 14,323,403.51, 19,766,298.97 and 7,797,082.51

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Solution

The fourth proportional to 14,323,403.51, 19,766,298.97 and 7,797,082.51 is: 10,759,975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323,403.51 : 19,766,298.97 = 7,797,082.51 : x
  2. Step 2: Convert to fraction form
    14,323,403.51/19,766,298.97 = 7,797,082.51/x
  3. Step 3: Cross multiply
    14,323,403.51x = 19,766,298.97 × 7,797,082.51
  4. Step 4: Simplify right side
    14,323,403.51x = 154,119,463,986,418
  5. Step 5: Solve for x
    x = 154,119,463,986,418/14,323,403.51
  6. Step 6: Final answer
    x = 10,759,975.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.