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Finding the Fourth Proportional to 23,036.40, 34,545.96 and 9,882

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Solution

The fourth proportional to 23,036.40, 34,545.96 and 9,882 is: 14,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036.40 : 34,545.96 = 9,882 : x
  2. Step 2: Convert to fraction form
    23,036.40/34,545.96 = 9,882/x
  3. Step 3: Cross multiply
    23,036.40x = 34,545.96 × 9,882
  4. Step 4: Simplify right side
    23,036.40x = 341,383,176.72
  5. Step 5: Solve for x
    x = 341,383,176.72/23,036.40
  6. Step 6: Final answer
    x = 14,819.29

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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.