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Finding the Fourth Proportional to 15,470.38, 21,349.15 and 8,396.80

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Solution

The fourth proportional to 15,470.38, 21,349.15 and 8,396.80 is: 11,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,470.38 : 21,349.15 = 8,396.80 : x
  2. Step 2: Convert to fraction form
    15,470.38/21,349.15 = 8,396.80/x
  3. Step 3: Cross multiply
    15,470.38x = 21,349.15 × 8,396.80
  4. Step 4: Simplify right side
    15,470.38x = 179,264,542.72
  5. Step 5: Solve for x
    x = 179,264,542.72/15,470.38
  6. Step 6: Final answer
    x = 11,587.60

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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.