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Finding the Fourth Proportional to 19,773.71, 29,663.15 and 7,302.48

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Solution

The fourth proportional to 19,773.71, 29,663.15 and 7,302.48 is: 10,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.71 : 29,663.15 = 7,302.48 : x
  2. Step 2: Convert to fraction form
    19,773.71/29,663.15 = 7,302.48/x
  3. Step 3: Cross multiply
    19,773.71x = 29,663.15 × 7,302.48
  4. Step 4: Simplify right side
    19,773.71x = 216,614,523.10
  5. Step 5: Solve for x
    x = 216,614,523.10/19,773.71
  6. Step 6: Final answer
    x = 10,954.68

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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.