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Finding the Fourth Proportional to 21,264.66, 29,344.14 and 16,232.40

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Solution

The fourth proportional to 21,264.66, 29,344.14 and 16,232.40 is: 22,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.66 : 29,344.14 = 16,232.40 : x
  2. Step 2: Convert to fraction form
    21,264.66/29,344.14 = 16,232.40/x
  3. Step 3: Cross multiply
    21,264.66x = 29,344.14 × 16,232.40
  4. Step 4: Simplify right side
    21,264.66x = 476,325,818.14
  5. Step 5: Solve for x
    x = 476,325,818.14/21,264.66
  6. Step 6: Final answer
    x = 22,399.88

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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.