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Finding the Fourth Proportional to 19,618.27, 29,418.19 and 7,129.49

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Solution

The fourth proportional to 19,618.27, 29,418.19 and 7,129.49 is: 10,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,618.27 : 29,418.19 = 7,129.49 : x
  2. Step 2: Convert to fraction form
    19,618.27/29,418.19 = 7,129.49/x
  3. Step 3: Cross multiply
    19,618.27x = 29,418.19 × 7,129.49
  4. Step 4: Simplify right side
    19,618.27x = 209,736,526.51
  5. Step 5: Solve for x
    x = 209,736,526.51/19,618.27
  6. Step 6: Final answer
    x = 10,690.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.