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Finding the Fourth Proportional to 14,711.02, 20,300.38 and 7,996.61

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Solution

The fourth proportional to 14,711.02, 20,300.38 and 7,996.61 is: 11,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.02 : 20,300.38 = 7,996.61 : x
  2. Step 2: Convert to fraction form
    14,711.02/20,300.38 = 7,996.61/x
  3. Step 3: Cross multiply
    14,711.02x = 20,300.38 × 7,996.61
  4. Step 4: Simplify right side
    14,711.02x = 162,334,252.47
  5. Step 5: Solve for x
    x = 162,334,252.47/14,711.02
  6. Step 6: Final answer
    x = 11,034.88

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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.