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Finding the Fourth Proportional to 23,032.81, 34,549.20 and 6,392.84

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Solution

The fourth proportional to 23,032.81, 34,549.20 and 6,392.84 is: 9,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,032.81 : 34,549.20 = 6,392.84 : x
  2. Step 2: Convert to fraction form
    23,032.81/34,549.20 = 6,392.84/x
  3. Step 3: Cross multiply
    23,032.81x = 34,549.20 × 6,392.84
  4. Step 4: Simplify right side
    23,032.81x = 220,867,334.98
  5. Step 5: Solve for x
    x = 220,867,334.98/23,032.81
  6. Step 6: Final answer
    x = 9,589.25

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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.