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Finding the Fourth Proportional to 21,309.40, 31,964.17 and 6,518.25

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Solution

The fourth proportional to 21,309.40, 31,964.17 and 6,518.25 is: 9,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.40 : 31,964.17 = 6,518.25 : x
  2. Step 2: Convert to fraction form
    21,309.40/31,964.17 = 6,518.25/x
  3. Step 3: Cross multiply
    21,309.40x = 31,964.17 × 6,518.25
  4. Step 4: Simplify right side
    21,309.40x = 208,350,434.81
  5. Step 5: Solve for x
    x = 208,350,434.81/21,309.40
  6. Step 6: Final answer
    x = 9,777.40

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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.