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Finding the Fourth Proportional to 16,451.64, 22,700.70 and 10,488.42

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Solution

The fourth proportional to 16,451.64, 22,700.70 and 10,488.42 is: 14,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,451.64 : 22,700.70 = 10,488.42 : x
  2. Step 2: Convert to fraction form
    16,451.64/22,700.70 = 10,488.42/x
  3. Step 3: Cross multiply
    16,451.64x = 22,700.70 × 10,488.42
  4. Step 4: Simplify right side
    16,451.64x = 238,094,475.89
  5. Step 5: Solve for x
    x = 238,094,475.89/16,451.64
  6. Step 6: Final answer
    x = 14,472.39

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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.