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Finding the Fourth Proportional to 17,657.73, 24,367.68 and 9,700.47

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Solution

The fourth proportional to 17,657.73, 24,367.68 and 9,700.47 is: 13,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.73 : 24,367.68 = 9,700.47 : x
  2. Step 2: Convert to fraction form
    17,657.73/24,367.68 = 9,700.47/x
  3. Step 3: Cross multiply
    17,657.73x = 24,367.68 × 9,700.47
  4. Step 4: Simplify right side
    17,657.73x = 236,377,948.81
  5. Step 5: Solve for x
    x = 236,377,948.81/17,657.73
  6. Step 6: Final answer
    x = 13,386.66

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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.