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Finding the Fourth Proportional to 14,046.88, 21,082.42 and 5,731.48

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Solution

The fourth proportional to 14,046.88, 21,082.42 and 5,731.48 is: 8,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.88 : 21,082.42 = 5,731.48 : x
  2. Step 2: Convert to fraction form
    14,046.88/21,082.42 = 5,731.48/x
  3. Step 3: Cross multiply
    14,046.88x = 21,082.42 × 5,731.48
  4. Step 4: Simplify right side
    14,046.88x = 120,833,468.58
  5. Step 5: Solve for x
    x = 120,833,468.58/14,046.88
  6. Step 6: Final answer
    x = 8,602.16

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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.