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Finding the Fourth Proportional to 12,535.90, 18,766.92 and 9,263.59

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Solution

The fourth proportional to 12,535.90, 18,766.92 and 9,263.59 is: 13,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.90 : 18,766.92 = 9,263.59 : x
  2. Step 2: Convert to fraction form
    12,535.90/18,766.92 = 9,263.59/x
  3. Step 3: Cross multiply
    12,535.90x = 18,766.92 × 9,263.59
  4. Step 4: Simplify right side
    12,535.90x = 173,849,052.44
  5. Step 5: Solve for x
    x = 173,849,052.44/12,535.90
  6. Step 6: Final answer
    x = 13,868.10

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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.