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Finding the Fourth Proportional to 14,872.64, 22,314.72 and 5,636.48

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Solution

The fourth proportional to 14,872.64, 22,314.72 and 5,636.48 is: 8,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.64 : 22,314.72 = 5,636.48 : x
  2. Step 2: Convert to fraction form
    14,872.64/22,314.72 = 5,636.48/x
  3. Step 3: Cross multiply
    14,872.64x = 22,314.72 × 5,636.48
  4. Step 4: Simplify right side
    14,872.64x = 125,776,472.99
  5. Step 5: Solve for x
    x = 125,776,472.99/14,872.64
  6. Step 6: Final answer
    x = 8,456.90

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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.