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Finding the Fourth Proportional to 23,461.48, 32,387.46 and 13,902.92

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Solution

The fourth proportional to 23,461.48, 32,387.46 and 13,902.92 is: 19,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.48 : 32,387.46 = 13,902.92 : x
  2. Step 2: Convert to fraction form
    23,461.48/32,387.46 = 13,902.92/x
  3. Step 3: Cross multiply
    23,461.48x = 32,387.46 × 13,902.92
  4. Step 4: Simplify right side
    23,461.48x = 450,280,265.38
  5. Step 5: Solve for x
    x = 450,280,265.38/23,461.48
  6. Step 6: Final answer
    x = 19,192.32

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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.