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Finding the Fourth Proportional to 14,034.52, 21,047.28 and 7,456.96

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Solution

The fourth proportional to 14,034.52, 21,047.28 and 7,456.96 is: 11,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.52 : 21,047.28 = 7,456.96 : x
  2. Step 2: Convert to fraction form
    14,034.52/21,047.28 = 7,456.96/x
  3. Step 3: Cross multiply
    14,034.52x = 21,047.28 × 7,456.96
  4. Step 4: Simplify right side
    14,034.52x = 156,948,725.07
  5. Step 5: Solve for x
    x = 156,948,725.07/14,034.52
  6. Step 6: Final answer
    x = 11,183.05

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Why These Related Problems?

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