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Finding the Fourth Proportional to 21,574.40, 29,757.34 and 14,400.70

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Solution

The fourth proportional to 21,574.40, 29,757.34 and 14,400.70 is: 19,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.40 : 29,757.34 = 14,400.70 : x
  2. Step 2: Convert to fraction form
    21,574.40/29,757.34 = 14,400.70/x
  3. Step 3: Cross multiply
    21,574.40x = 29,757.34 × 14,400.70
  4. Step 4: Simplify right side
    21,574.40x = 428,526,657.38
  5. Step 5: Solve for x
    x = 428,526,657.38/21,574.40
  6. Step 6: Final answer
    x = 19,862.73

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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.