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Finding the Fourth Proportional to 21,309.42, 31,965.62 and 6,517.20

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Solution

The fourth proportional to 21,309.42, 31,965.62 and 6,517.20 is: 9,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.42 : 31,965.62 = 6,517.20 : x
  2. Step 2: Convert to fraction form
    21,309.42/31,965.62 = 6,517.20/x
  3. Step 3: Cross multiply
    21,309.42x = 31,965.62 × 6,517.20
  4. Step 4: Simplify right side
    21,309.42x = 208,326,306.08
  5. Step 5: Solve for x
    x = 208,326,306.08/21,309.42
  6. Step 6: Final answer
    x = 9,776.25

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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.