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Finding the Fourth Proportional to 23,502, 32,432.18 and 12,891.54

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Solution

The fourth proportional to 23,502, 32,432.18 and 12,891.54 is: 17,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502 : 32,432.18 = 12,891.54 : x
  2. Step 2: Convert to fraction form
    23,502/32,432.18 = 12,891.54/x
  3. Step 3: Cross multiply
    23,502x = 32,432.18 × 12,891.54
  4. Step 4: Simplify right side
    23,502x = 418,100,745.76
  5. Step 5: Solve for x
    x = 418,100,745.76/23,502
  6. Step 6: Final answer
    x = 17,790.01

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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.