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Finding the Fourth Proportional to 17,431.98, 24,050.82 and 9,877.14

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Solution

The fourth proportional to 17,431.98, 24,050.82 and 9,877.14 is: 13,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.98 : 24,050.82 = 9,877.14 : x
  2. Step 2: Convert to fraction form
    17,431.98/24,050.82 = 9,877.14/x
  3. Step 3: Cross multiply
    17,431.98x = 24,050.82 × 9,877.14
  4. Step 4: Simplify right side
    17,431.98x = 237,553,316.25
  5. Step 5: Solve for x
    x = 237,553,316.25/17,431.98
  6. Step 6: Final answer
    x = 13,627.44

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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.