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Finding the Fourth Proportional to 23,251.50, 32,087.40 and 12,641.16

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Solution

The fourth proportional to 23,251.50, 32,087.40 and 12,641.16 is: 17,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251.50 : 32,087.40 = 12,641.16 : x
  2. Step 2: Convert to fraction form
    23,251.50/32,087.40 = 12,641.16/x
  3. Step 3: Cross multiply
    23,251.50x = 32,087.40 × 12,641.16
  4. Step 4: Simplify right side
    23,251.50x = 405,621,957.38
  5. Step 5: Solve for x
    x = 405,621,957.38/23,251.50
  6. Step 6: Final answer
    x = 17,444.98

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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.