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Finding the Fourth Proportional to 18,458, 25,472.32 and 10,074.52

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Solution

The fourth proportional to 18,458, 25,472.32 and 10,074.52 is: 13,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,458 : 25,472.32 = 10,074.52 : x
  2. Step 2: Convert to fraction form
    18,458/25,472.32 = 10,074.52/x
  3. Step 3: Cross multiply
    18,458x = 25,472.32 × 10,074.52
  4. Step 4: Simplify right side
    18,458x = 256,621,397.29
  5. Step 5: Solve for x
    x = 256,621,397.29/18,458
  6. Step 6: Final answer
    x = 13,902.99

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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.