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Finding the Fourth Proportional to 20,864.58, 31,296.93 and 5,282.19

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Solution

The fourth proportional to 20,864.58, 31,296.93 and 5,282.19 is: 7,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864.58 : 31,296.93 = 5,282.19 : x
  2. Step 2: Convert to fraction form
    20,864.58/31,296.93 = 5,282.19/x
  3. Step 3: Cross multiply
    20,864.58x = 31,296.93 × 5,282.19
  4. Step 4: Simplify right side
    20,864.58x = 165,316,330.68
  5. Step 5: Solve for x
    x = 165,316,330.68/20,864.58
  6. Step 6: Final answer
    x = 7,923.30

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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.