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Finding the Fourth Proportional to 24,788.97, 34,211.97 and 14,178.38

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Solution

The fourth proportional to 24,788.97, 34,211.97 and 14,178.38 is: 19,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,788.97 : 34,211.97 = 14,178.38 : x
  2. Step 2: Convert to fraction form
    24,788.97/34,211.97 = 14,178.38/x
  3. Step 3: Cross multiply
    24,788.97x = 34,211.97 × 14,178.38
  4. Step 4: Simplify right side
    24,788.97x = 485,070,140.15
  5. Step 5: Solve for x
    x = 485,070,140.15/24,788.97
  6. Step 6: Final answer
    x = 19,567.98

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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.