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Finding the Fourth Proportional to 15,471, 21,350.37 and 8,397.42

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Solution

The fourth proportional to 15,471, 21,350.37 and 8,397.42 is: 11,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471 : 21,350.37 = 8,397.42 : x
  2. Step 2: Convert to fraction form
    15,471/21,350.37 = 8,397.42/x
  3. Step 3: Cross multiply
    15,471x = 21,350.37 × 8,397.42
  4. Step 4: Simplify right side
    15,471x = 179,288,024.05
  5. Step 5: Solve for x
    x = 179,288,024.05/15,471
  6. Step 6: Final answer
    x = 11,588.65

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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.