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Finding the Fourth Proportional to 24,053.76, 33,193.98 and 13,443.12

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Solution

The fourth proportional to 24,053.76, 33,193.98 and 13,443.12 is: 18,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,053.76 : 33,193.98 = 13,443.12 : x
  2. Step 2: Convert to fraction form
    24,053.76/33,193.98 = 13,443.12/x
  3. Step 3: Cross multiply
    24,053.76x = 33,193.98 × 13,443.12
  4. Step 4: Simplify right side
    24,053.76x = 446,230,656.42
  5. Step 5: Solve for x
    x = 446,230,656.42/24,053.76
  6. Step 6: Final answer
    x = 18,551.39

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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.