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Finding the Fourth Proportional to 17,659.14, 24,368.40 and 9,701.70

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Solution

The fourth proportional to 17,659.14, 24,368.40 and 9,701.70 is: 13,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.14 : 24,368.40 = 9,701.70 : x
  2. Step 2: Convert to fraction form
    17,659.14/24,368.40 = 9,701.70/x
  3. Step 3: Cross multiply
    17,659.14x = 24,368.40 × 9,701.70
  4. Step 4: Simplify right side
    17,659.14x = 236,414,906.28
  5. Step 5: Solve for x
    x = 236,414,906.28/17,659.14
  6. Step 6: Final answer
    x = 13,387.68

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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.