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Finding the Fourth Proportional to 17,932.41, 24,747.33 and 9,866.40

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Solution

The fourth proportional to 17,932.41, 24,747.33 and 9,866.40 is: 13,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932.41 : 24,747.33 = 9,866.40 : x
  2. Step 2: Convert to fraction form
    17,932.41/24,747.33 = 9,866.40/x
  3. Step 3: Cross multiply
    17,932.41x = 24,747.33 × 9,866.40
  4. Step 4: Simplify right side
    17,932.41x = 244,167,056.71
  5. Step 5: Solve for x
    x = 244,167,056.71/17,932.41
  6. Step 6: Final answer
    x = 13,615.96

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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.