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Finding the Fourth Proportional to 14,032.27, 19,364.01 and 7,744.51

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Solution

The fourth proportional to 14,032.27, 19,364.01 and 7,744.51 is: 10,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.27 : 19,364.01 = 7,744.51 : x
  2. Step 2: Convert to fraction form
    14,032.27/19,364.01 = 7,744.51/x
  3. Step 3: Cross multiply
    14,032.27x = 19,364.01 × 7,744.51
  4. Step 4: Simplify right side
    14,032.27x = 149,964,769.09
  5. Step 5: Solve for x
    x = 149,964,769.09/14,032.27
  6. Step 6: Final answer
    x = 10,687.14

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