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Finding the Fourth Proportional to 21,122.74, 29,140.29 and 12,164.92

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Solution

The fourth proportional to 21,122.74, 29,140.29 and 12,164.92 is: 16,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.74 : 29,140.29 = 12,164.92 : x
  2. Step 2: Convert to fraction form
    21,122.74/29,140.29 = 12,164.92/x
  3. Step 3: Cross multiply
    21,122.74x = 29,140.29 × 12,164.92
  4. Step 4: Simplify right side
    21,122.74x = 354,489,223.78
  5. Step 5: Solve for x
    x = 354,489,223.78/21,122.74
  6. Step 6: Final answer
    x = 16,782.35

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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.