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Finding the Fourth Proportional to 21,474.52, 29,648.13 and 14,314.52

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Solution

The fourth proportional to 21,474.52, 29,648.13 and 14,314.52 is: 19,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,474.52 : 29,648.13 = 14,314.52 : x
  2. Step 2: Convert to fraction form
    21,474.52/29,648.13 = 14,314.52/x
  3. Step 3: Cross multiply
    21,474.52x = 29,648.13 × 14,314.52
  4. Step 4: Simplify right side
    21,474.52x = 424,398,770.29
  5. Step 5: Solve for x
    x = 424,398,770.29/21,474.52
  6. Step 6: Final answer
    x = 19,762.90

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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.