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Finding the Fourth Proportional to 21,574.68, 29,773.38 and 12,143.46

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Solution

The fourth proportional to 21,574.68, 29,773.38 and 12,143.46 is: 16,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.68 : 29,773.38 = 12,143.46 : x
  2. Step 2: Convert to fraction form
    21,574.68/29,773.38 = 12,143.46/x
  3. Step 3: Cross multiply
    21,574.68x = 29,773.38 × 12,143.46
  4. Step 4: Simplify right side
    21,574.68x = 361,551,849.09
  5. Step 5: Solve for x
    x = 361,551,849.09/21,574.68
  6. Step 6: Final answer
    x = 16,758.16

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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.