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Finding the Fourth Proportional to 24,100.80, 33,257.28 and 13,488

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Solution

The fourth proportional to 24,100.80, 33,257.28 and 13,488 is: 18,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100.80 : 33,257.28 = 13,488 : x
  2. Step 2: Convert to fraction form
    24,100.80/33,257.28 = 13,488/x
  3. Step 3: Cross multiply
    24,100.80x = 33,257.28 × 13,488
  4. Step 4: Simplify right side
    24,100.80x = 448,574,192.64
  5. Step 5: Solve for x
    x = 448,574,192.64/24,100.80
  6. Step 6: Final answer
    x = 18,612.42

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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.