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Finding the Fourth Proportional to 15,089.92, 22,605.45 and 9,880

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Solution

The fourth proportional to 15,089.92, 22,605.45 and 9,880 is: 14,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,089.92 : 22,605.45 = 9,880 : x
  2. Step 2: Convert to fraction form
    15,089.92/22,605.45 = 9,880/x
  3. Step 3: Cross multiply
    15,089.92x = 22,605.45 × 9,880
  4. Step 4: Simplify right side
    15,089.92x = 223,341,846
  5. Step 5: Solve for x
    x = 223,341,846/15,089.92
  6. Step 6: Final answer
    x = 14,800.73

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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.