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Finding the Fourth Proportional to 14,756.64, 22,134 and 5,989.20

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Solution

The fourth proportional to 14,756.64, 22,134 and 5,989.20 is: 8,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.64 : 22,134 = 5,989.20 : x
  2. Step 2: Convert to fraction form
    14,756.64/22,134 = 5,989.20/x
  3. Step 3: Cross multiply
    14,756.64x = 22,134 × 5,989.20
  4. Step 4: Simplify right side
    14,756.64x = 132,564,952.80
  5. Step 5: Solve for x
    x = 132,564,952.80/14,756.64
  6. Step 6: Final answer
    x = 8,983.41

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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.