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Finding the Fourth Proportional to 14,882.64, 20,539.68 and 9,510

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Solution

The fourth proportional to 14,882.64, 20,539.68 and 9,510 is: 13,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.64 : 20,539.68 = 9,510 : x
  2. Step 2: Convert to fraction form
    14,882.64/20,539.68 = 9,510/x
  3. Step 3: Cross multiply
    14,882.64x = 20,539.68 × 9,510
  4. Step 4: Simplify right side
    14,882.64x = 195,332,356.80
  5. Step 5: Solve for x
    x = 195,332,356.80/14,882.64
  6. Step 6: Final answer
    x = 13,124.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.