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Finding the Fourth Proportional to 24,952, 34,423.44 and 16,463.62

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Solution

The fourth proportional to 24,952, 34,423.44 and 16,463.62 is: 22,712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,952 : 34,423.44 = 16,463.62 : x
  2. Step 2: Convert to fraction form
    24,952/34,423.44 = 16,463.62/x
  3. Step 3: Cross multiply
    24,952x = 34,423.44 × 16,463.62
  4. Step 4: Simplify right side
    24,952x = 566,734,435.25
  5. Step 5: Solve for x
    x = 566,734,435.25/24,952
  6. Step 6: Final answer
    x = 22,712.99

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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.