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Finding the Fourth Proportional to 13,663.71, 20,500.45 and 4,781.48

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Solution

The fourth proportional to 13,663.71, 20,500.45 and 4,781.48 is: 7,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.71 : 20,500.45 = 4,781.48 : x
  2. Step 2: Convert to fraction form
    13,663.71/20,500.45 = 4,781.48/x
  3. Step 3: Cross multiply
    13,663.71x = 20,500.45 × 4,781.48
  4. Step 4: Simplify right side
    13,663.71x = 98,022,389.16
  5. Step 5: Solve for x
    x = 98,022,389.16/13,663.71
  6. Step 6: Final answer
    x = 7,173.92

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