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Finding the Fourth Proportional to 24,502.90, 36,732.12 and 8,909.50

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Solution

The fourth proportional to 24,502.90, 36,732.12 and 8,909.50 is: 13,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502.90 : 36,732.12 = 8,909.50 : x
  2. Step 2: Convert to fraction form
    24,502.90/36,732.12 = 8,909.50/x
  3. Step 3: Cross multiply
    24,502.90x = 36,732.12 × 8,909.50
  4. Step 4: Simplify right side
    24,502.90x = 327,264,823.14
  5. Step 5: Solve for x
    x = 327,264,823.14/24,502.90
  6. Step 6: Final answer
    x = 13,356.17

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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.