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Finding the Fourth Proportional to 16,834.64, 25,224 and 10,240.88

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Solution

The fourth proportional to 16,834.64, 25,224 and 10,240.88 is: 15,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,834.64 : 25,224 = 10,240.88 : x
  2. Step 2: Convert to fraction form
    16,834.64/25,224 = 10,240.88/x
  3. Step 3: Cross multiply
    16,834.64x = 25,224 × 10,240.88
  4. Step 4: Simplify right side
    16,834.64x = 258,315,957.12
  5. Step 5: Solve for x
    x = 258,315,957.12/16,834.64
  6. Step 6: Final answer
    x = 15,344.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.