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Finding the Fourth Proportional to 18,414.96, 25,411.74 and 10,456.08

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Solution

The fourth proportional to 18,414.96, 25,411.74 and 10,456.08 is: 14,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414.96 : 25,411.74 = 10,456.08 : x
  2. Step 2: Convert to fraction form
    18,414.96/25,411.74 = 10,456.08/x
  3. Step 3: Cross multiply
    18,414.96x = 25,411.74 × 10,456.08
  4. Step 4: Simplify right side
    18,414.96x = 265,707,186.38
  5. Step 5: Solve for x
    x = 265,707,186.38/18,414.96
  6. Step 6: Final answer
    x = 14,428.88

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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.