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Finding the Fourth Proportional to 20,785.68, 31,185.18 and 7,449.68

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Solution

The fourth proportional to 20,785.68, 31,185.18 and 7,449.68 is: 11,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785.68 : 31,185.18 = 7,449.68 : x
  2. Step 2: Convert to fraction form
    20,785.68/31,185.18 = 7,449.68/x
  3. Step 3: Cross multiply
    20,785.68x = 31,185.18 × 7,449.68
  4. Step 4: Simplify right side
    20,785.68x = 232,319,689.71
  5. Step 5: Solve for x
    x = 232,319,689.71/20,785.68
  6. Step 6: Final answer
    x = 11,176.91

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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.