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Finding the Fourth Proportional to 16,131, 24,193.53 and 4,442.70

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Solution

The fourth proportional to 16,131, 24,193.53 and 4,442.70 is: 6,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131 : 24,193.53 = 4,442.70 : x
  2. Step 2: Convert to fraction form
    16,131/24,193.53 = 4,442.70/x
  3. Step 3: Cross multiply
    16,131x = 24,193.53 × 4,442.70
  4. Step 4: Simplify right side
    16,131x = 107,484,595.73
  5. Step 5: Solve for x
    x = 107,484,595.73/16,131
  6. Step 6: Final answer
    x = 6,663.23

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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.