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Finding the Fourth Proportional to 24,384, 33,658.56 and 14,448

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Solution

The fourth proportional to 24,384, 33,658.56 and 14,448 is: 19,943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384 : 33,658.56 = 14,448 : x
  2. Step 2: Convert to fraction form
    24,384/33,658.56 = 14,448/x
  3. Step 3: Cross multiply
    24,384x = 33,658.56 × 14,448
  4. Step 4: Simplify right side
    24,384x = 486,298,874.88
  5. Step 5: Solve for x
    x = 486,298,874.88/24,384
  6. Step 6: Final answer
    x = 19,943.36

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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.