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Finding the Fourth Proportional to 21,176.98, 31,765.52 and 6,390.14

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Solution

The fourth proportional to 21,176.98, 31,765.52 and 6,390.14 is: 9,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.98 : 31,765.52 = 6,390.14 : x
  2. Step 2: Convert to fraction form
    21,176.98/31,765.52 = 6,390.14/x
  3. Step 3: Cross multiply
    21,176.98x = 31,765.52 × 6,390.14
  4. Step 4: Simplify right side
    21,176.98x = 202,986,119.97
  5. Step 5: Solve for x
    x = 202,986,119.97/21,176.98
  6. Step 6: Final answer
    x = 9,585.23

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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.