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Finding the Fourth Proportional to 20,859.30, 31,284.08 and 9,773.64

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Solution

The fourth proportional to 20,859.30, 31,284.08 and 9,773.64 is: 14,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.30 : 31,284.08 = 9,773.64 : x
  2. Step 2: Convert to fraction form
    20,859.30/31,284.08 = 9,773.64/x
  3. Step 3: Cross multiply
    20,859.30x = 31,284.08 × 9,773.64
  4. Step 4: Simplify right side
    20,859.30x = 305,759,335.65
  5. Step 5: Solve for x
    x = 305,759,335.65/20,859.30
  6. Step 6: Final answer
    x = 14,658.18

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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.