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Finding the Fourth Proportional to 26,454.60, 39,701.07 and 9,817

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Solution

The fourth proportional to 26,454.60, 39,701.07 and 9,817 is: 14,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,454.60 : 39,701.07 = 9,817 : x
  2. Step 2: Convert to fraction form
    26,454.60/39,701.07 = 9,817/x
  3. Step 3: Cross multiply
    26,454.60x = 39,701.07 × 9,817
  4. Step 4: Simplify right side
    26,454.60x = 389,745,404.19
  5. Step 5: Solve for x
    x = 389,745,404.19/26,454.60
  6. Step 6: Final answer
    x = 14,732.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.