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Finding the Fourth Proportional to 25,841.72, 35,658.60 and 14,508.74

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Solution

The fourth proportional to 25,841.72, 35,658.60 and 14,508.74 is: 20,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.72 : 35,658.60 = 14,508.74 : x
  2. Step 2: Convert to fraction form
    25,841.72/35,658.60 = 14,508.74/x
  3. Step 3: Cross multiply
    25,841.72x = 35,658.60 × 14,508.74
  4. Step 4: Simplify right side
    25,841.72x = 517,361,356.16
  5. Step 5: Solve for x
    x = 517,361,356.16/25,841.72
  6. Step 6: Final answer
    x = 20,020.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.