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Finding the Fourth Proportional to 24,772.38, 34,185.80 and 14,709.09

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Solution

The fourth proportional to 24,772.38, 34,185.80 and 14,709.09 is: 20,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,772.38 : 34,185.80 = 14,709.09 : x
  2. Step 2: Convert to fraction form
    24,772.38/34,185.80 = 14,709.09/x
  3. Step 3: Cross multiply
    24,772.38x = 34,185.80 × 14,709.09
  4. Step 4: Simplify right side
    24,772.38x = 502,842,091.15
  5. Step 5: Solve for x
    x = 502,842,091.15/24,772.38
  6. Step 6: Final answer
    x = 20,298.50

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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.