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Finding the Fourth Proportional to 24,498, 33,810.08 and 13,745.84

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Solution

The fourth proportional to 24,498, 33,810.08 and 13,745.84 is: 18,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498 : 33,810.08 = 13,745.84 : x
  2. Step 2: Convert to fraction form
    24,498/33,810.08 = 13,745.84/x
  3. Step 3: Cross multiply
    24,498x = 33,810.08 × 13,745.84
  4. Step 4: Simplify right side
    24,498x = 464,747,950.07
  5. Step 5: Solve for x
    x = 464,747,950.07/24,498
  6. Step 6: Final answer
    x = 18,970.85

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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.