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Finding the Fourth Proportional to 21,216.20, 31,809.16 and 9,965.26

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Solution

The fourth proportional to 21,216.20, 31,809.16 and 9,965.26 is: 14,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.20 : 31,809.16 = 9,965.26 : x
  2. Step 2: Convert to fraction form
    21,216.20/31,809.16 = 9,965.26/x
  3. Step 3: Cross multiply
    21,216.20x = 31,809.16 × 9,965.26
  4. Step 4: Simplify right side
    21,216.20x = 316,986,549.78
  5. Step 5: Solve for x
    x = 316,986,549.78/21,216.20
  6. Step 6: Final answer
    x = 14,940.78

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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.