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Finding the Fourth Proportional to 24,767.58, 34,177.59 and 13,590.30

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Solution

The fourth proportional to 24,767.58, 34,177.59 and 13,590.30 is: 18,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767.58 : 34,177.59 = 13,590.30 : x
  2. Step 2: Convert to fraction form
    24,767.58/34,177.59 = 13,590.30/x
  3. Step 3: Cross multiply
    24,767.58x = 34,177.59 × 13,590.30
  4. Step 4: Simplify right side
    24,767.58x = 464,483,701.38
  5. Step 5: Solve for x
    x = 464,483,701.38/24,767.58
  6. Step 6: Final answer
    x = 18,753.70

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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.