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Finding the Fourth Proportional to 23,414.08, 32,302.38 and 14,446

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Solution

The fourth proportional to 23,414.08, 32,302.38 and 14,446 is: 19,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.08 : 32,302.38 = 14,446 : x
  2. Step 2: Convert to fraction form
    23,414.08/32,302.38 = 14,446/x
  3. Step 3: Cross multiply
    23,414.08x = 32,302.38 × 14,446
  4. Step 4: Simplify right side
    23,414.08x = 466,640,181.48
  5. Step 5: Solve for x
    x = 466,640,181.48/23,414.08
  6. Step 6: Final answer
    x = 19,929.90

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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.