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Finding the Fourth Proportional to 17,854.43, 24,638.87 and 10,300.78

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Solution

The fourth proportional to 17,854.43, 24,638.87 and 10,300.78 is: 14,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.43 : 24,638.87 = 10,300.78 : x
  2. Step 2: Convert to fraction form
    17,854.43/24,638.87 = 10,300.78/x
  3. Step 3: Cross multiply
    17,854.43x = 24,638.87 × 10,300.78
  4. Step 4: Simplify right side
    17,854.43x = 253,799,404.62
  5. Step 5: Solve for x
    x = 253,799,404.62/17,854.43
  6. Step 6: Final answer
    x = 14,214.93

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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.