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Finding the Fourth Proportional to 17,858.12, 24,645.68 and 9,902.91

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Solution

The fourth proportional to 17,858.12, 24,645.68 and 9,902.91 is: 13,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.12 : 24,645.68 = 9,902.91 : x
  2. Step 2: Convert to fraction form
    17,858.12/24,645.68 = 9,902.91/x
  3. Step 3: Cross multiply
    17,858.12x = 24,645.68 × 9,902.91
  4. Step 4: Simplify right side
    17,858.12x = 244,063,901.41
  5. Step 5: Solve for x
    x = 244,063,901.41/17,858.12
  6. Step 6: Final answer
    x = 13,666.83

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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.