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Finding the Fourth Proportional to 21,776.64, 32,650.92 and 9,304.80

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Solution

The fourth proportional to 21,776.64, 32,650.92 and 9,304.80 is: 13,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776.64 : 32,650.92 = 9,304.80 : x
  2. Step 2: Convert to fraction form
    21,776.64/32,650.92 = 9,304.80/x
  3. Step 3: Cross multiply
    21,776.64x = 32,650.92 × 9,304.80
  4. Step 4: Simplify right side
    21,776.64x = 303,810,280.42
  5. Step 5: Solve for x
    x = 303,810,280.42/21,776.64
  6. Step 6: Final answer
    x = 13,951.20

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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.