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Finding the Fourth Proportional to 14,337.25, 19,785.42 and 8,049.64

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Solution

The fourth proportional to 14,337.25, 19,785.42 and 8,049.64 is: 11,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337.25 : 19,785.42 = 8,049.64 : x
  2. Step 2: Convert to fraction form
    14,337.25/19,785.42 = 8,049.64/x
  3. Step 3: Cross multiply
    14,337.25x = 19,785.42 × 8,049.64
  4. Step 4: Simplify right side
    14,337.25x = 159,265,508.25
  5. Step 5: Solve for x
    x = 159,265,508.25/14,337.25
  6. Step 6: Final answer
    x = 11,108.51

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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.