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Finding the Fourth Proportional to 24,538, 33,862.44 and 13,360

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Solution

The fourth proportional to 24,538, 33,862.44 and 13,360 is: 18,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538 : 33,862.44 = 13,360 : x
  2. Step 2: Convert to fraction form
    24,538/33,862.44 = 13,360/x
  3. Step 3: Cross multiply
    24,538x = 33,862.44 × 13,360
  4. Step 4: Simplify right side
    24,538x = 452,402,198.40
  5. Step 5: Solve for x
    x = 452,402,198.40/24,538
  6. Step 6: Final answer
    x = 18,436.80

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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.