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Finding the Fourth Proportional to 15,965.88, 22,032.91 and 9,255.40

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Solution

The fourth proportional to 15,965.88, 22,032.91 and 9,255.40 is: 12,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.88 : 22,032.91 = 9,255.40 : x
  2. Step 2: Convert to fraction form
    15,965.88/22,032.91 = 9,255.40/x
  3. Step 3: Cross multiply
    15,965.88x = 22,032.91 × 9,255.40
  4. Step 4: Simplify right side
    15,965.88x = 203,923,351.70
  5. Step 5: Solve for x
    x = 203,923,351.70/15,965.88
  6. Step 6: Final answer
    x = 12,772.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.