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Finding the Fourth Proportional to 17,659.12, 24,369.66 and 9,701.14

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Solution

The fourth proportional to 17,659.12, 24,369.66 and 9,701.14 is: 13,387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.12 : 24,369.66 = 9,701.14 : x
  2. Step 2: Convert to fraction form
    17,659.12/24,369.66 = 9,701.14/x
  3. Step 3: Cross multiply
    17,659.12x = 24,369.66 × 9,701.14
  4. Step 4: Simplify right side
    17,659.12x = 236,413,483.41
  5. Step 5: Solve for x
    x = 236,413,483.41/17,659.12
  6. Step 6: Final answer
    x = 13,387.61

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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.