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Finding the Fourth Proportional to 22,462.70, 30,981.02 and 14,506.88

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Solution

The fourth proportional to 22,462.70, 30,981.02 and 14,506.88 is: 20,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.70 : 30,981.02 = 14,506.88 : x
  2. Step 2: Convert to fraction form
    22,462.70/30,981.02 = 14,506.88/x
  3. Step 3: Cross multiply
    22,462.70x = 30,981.02 × 14,506.88
  4. Step 4: Simplify right side
    22,462.70x = 449,437,939.42
  5. Step 5: Solve for x
    x = 449,437,939.42/22,462.70
  6. Step 6: Final answer
    x = 20,008.19

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1.5x scale

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.