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Finding the Fourth Proportional to 16,828.56, 25,242.84 and 9,421.92

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Solution

The fourth proportional to 16,828.56, 25,242.84 and 9,421.92 is: 14,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.56 : 25,242.84 = 9,421.92 : x
  2. Step 2: Convert to fraction form
    16,828.56/25,242.84 = 9,421.92/x
  3. Step 3: Cross multiply
    16,828.56x = 25,242.84 × 9,421.92
  4. Step 4: Simplify right side
    16,828.56x = 237,836,019.05
  5. Step 5: Solve for x
    x = 237,836,019.05/16,828.56
  6. Step 6: Final answer
    x = 14,132.88

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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.