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Finding the Fourth Proportional to 24,490.28, 36,713.40 and 8,897

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Solution

The fourth proportional to 24,490.28, 36,713.40 and 8,897 is: 13,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,490.28 : 36,713.40 = 8,897 : x
  2. Step 2: Convert to fraction form
    24,490.28/36,713.40 = 8,897/x
  3. Step 3: Cross multiply
    24,490.28x = 36,713.40 × 8,897
  4. Step 4: Simplify right side
    24,490.28x = 326,639,119.80
  5. Step 5: Solve for x
    x = 326,639,119.80/24,490.28
  6. Step 6: Final answer
    x = 13,337.50

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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.