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Finding the Fourth Proportional to 21,229.66, 29,294.58 and 12,275.80

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Solution

The fourth proportional to 21,229.66, 29,294.58 and 12,275.80 is: 16,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.66 : 29,294.58 = 12,275.80 : x
  2. Step 2: Convert to fraction form
    21,229.66/29,294.58 = 12,275.80/x
  3. Step 3: Cross multiply
    21,229.66x = 29,294.58 × 12,275.80
  4. Step 4: Simplify right side
    21,229.66x = 359,614,258.69
  5. Step 5: Solve for x
    x = 359,614,258.69/21,229.66
  6. Step 6: Final answer
    x = 16,939.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.