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Finding the Fourth Proportional to 21,239.76, 31,860.88 and 6,449.16

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Solution

The fourth proportional to 21,239.76, 31,860.88 and 6,449.16 is: 9,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,239.76 : 31,860.88 = 6,449.16 : x
  2. Step 2: Convert to fraction form
    21,239.76/31,860.88 = 6,449.16/x
  3. Step 3: Cross multiply
    21,239.76x = 31,860.88 × 6,449.16
  4. Step 4: Simplify right side
    21,239.76x = 205,475,912.86
  5. Step 5: Solve for x
    x = 205,475,912.86/21,239.76
  6. Step 6: Final answer
    x = 9,674.12

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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.