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Finding the Fourth Proportional to 13,781.10, 20,655.24 and 9,598.47

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Solution

The fourth proportional to 13,781.10, 20,655.24 and 9,598.47 is: 14,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.10 : 20,655.24 = 9,598.47 : x
  2. Step 2: Convert to fraction form
    13,781.10/20,655.24 = 9,598.47/x
  3. Step 3: Cross multiply
    13,781.10x = 20,655.24 × 9,598.47
  4. Step 4: Simplify right side
    13,781.10x = 198,258,701.48
  5. Step 5: Solve for x
    x = 198,258,701.48/13,781.10
  6. Step 6: Final answer
    x = 14,386.28

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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.