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Finding the Fourth Proportional to 23,498, 32,431.08 and 13,567.76

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Solution

The fourth proportional to 23,498, 32,431.08 and 13,567.76 is: 18,725.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498 : 32,431.08 = 13,567.76 : x
  2. Step 2: Convert to fraction form
    23,498/32,431.08 = 13,567.76/x
  3. Step 3: Cross multiply
    23,498x = 32,431.08 × 13,567.76
  4. Step 4: Simplify right side
    23,498x = 440,017,109.98
  5. Step 5: Solve for x
    x = 440,017,109.98/23,498
  6. Step 6: Final answer
    x = 18,725.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.