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Finding the Fourth Proportional to 22,877.74, 34,251.90 and 14,537.08

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Solution

The fourth proportional to 22,877.74, 34,251.90 and 14,537.08 is: 21,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.74 : 34,251.90 = 14,537.08 : x
  2. Step 2: Convert to fraction form
    22,877.74/34,251.90 = 14,537.08/x
  3. Step 3: Cross multiply
    22,877.74x = 34,251.90 × 14,537.08
  4. Step 4: Simplify right side
    22,877.74x = 497,922,610.45
  5. Step 5: Solve for x
    x = 497,922,610.45/22,877.74
  6. Step 6: Final answer
    x = 21,764.50

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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.