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Finding the Fourth Proportional to 24,498, 33,807.24 and 13,320

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Solution

The fourth proportional to 24,498, 33,807.24 and 13,320 is: 18,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498 : 33,807.24 = 13,320 : x
  2. Step 2: Convert to fraction form
    24,498/33,807.24 = 13,320/x
  3. Step 3: Cross multiply
    24,498x = 33,807.24 × 13,320
  4. Step 4: Simplify right side
    24,498x = 450,312,436.80
  5. Step 5: Solve for x
    x = 450,312,436.80/24,498
  6. Step 6: Final answer
    x = 18,381.60

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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.