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Finding the Fourth Proportional to 16,377.47, 24,566.21 and 4,065.47

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Solution

The fourth proportional to 16,377.47, 24,566.21 and 4,065.47 is: 6,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377.47 : 24,566.21 = 4,065.47 : x
  2. Step 2: Convert to fraction form
    16,377.47/24,566.21 = 4,065.47/x
  3. Step 3: Cross multiply
    16,377.47x = 24,566.21 × 4,065.47
  4. Step 4: Simplify right side
    16,377.47x = 99,873,153.98
  5. Step 5: Solve for x
    x = 99,873,153.98/16,377.47
  6. Step 6: Final answer
    x = 6,098.20

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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.