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Finding the Fourth Proportional to 17,701.60, 24,428.02 and 9,743.66

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Solution

The fourth proportional to 17,701.60, 24,428.02 and 9,743.66 is: 13,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.60 : 24,428.02 = 9,743.66 : x
  2. Step 2: Convert to fraction form
    17,701.60/24,428.02 = 9,743.66/x
  3. Step 3: Cross multiply
    17,701.60x = 24,428.02 × 9,743.66
  4. Step 4: Simplify right side
    17,701.60x = 238,018,321.35
  5. Step 5: Solve for x
    x = 238,018,321.35/17,701.60
  6. Step 6: Final answer
    x = 13,446.15

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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.