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Finding the Fourth Proportional to 15,471.34, 21,349.88 and 8,397.60

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Solution

The fourth proportional to 15,471.34, 21,349.88 and 8,397.60 is: 11,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.34 : 21,349.88 = 8,397.60 : x
  2. Step 2: Convert to fraction form
    15,471.34/21,349.88 = 8,397.60/x
  3. Step 3: Cross multiply
    15,471.34x = 21,349.88 × 8,397.60
  4. Step 4: Simplify right side
    15,471.34x = 179,287,752.29
  5. Step 5: Solve for x
    x = 179,287,752.29/15,471.34
  6. Step 6: Final answer
    x = 11,588.38

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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.