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Finding the Fourth Proportional to 24,472, 33,772.12 and 13,294.72

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Solution

The fourth proportional to 24,472, 33,772.12 and 13,294.72 is: 18,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472 : 33,772.12 = 13,294.72 : x
  2. Step 2: Convert to fraction form
    24,472/33,772.12 = 13,294.72/x
  3. Step 3: Cross multiply
    24,472x = 33,772.12 × 13,294.72
  4. Step 4: Simplify right side
    24,472x = 448,990,879.21
  5. Step 5: Solve for x
    x = 448,990,879.21/24,472
  6. Step 6: Final answer
    x = 18,347.13

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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.