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Finding the Fourth Proportional to 14,182.92, 21,279.78 and 6,397.20

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Solution

The fourth proportional to 14,182.92, 21,279.78 and 6,397.20 is: 9,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.92 : 21,279.78 = 6,397.20 : x
  2. Step 2: Convert to fraction form
    14,182.92/21,279.78 = 6,397.20/x
  3. Step 3: Cross multiply
    14,182.92x = 21,279.78 × 6,397.20
  4. Step 4: Simplify right side
    14,182.92x = 136,131,008.62
  5. Step 5: Solve for x
    x = 136,131,008.62/14,182.92
  6. Step 6: Final answer
    x = 9,598.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.