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Finding the Fourth Proportional to 13,440.90, 20,165.40 and 9,552.90

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Solution

The fourth proportional to 13,440.90, 20,165.40 and 9,552.90 is: 14,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.90 : 20,165.40 = 9,552.90 : x
  2. Step 2: Convert to fraction form
    13,440.90/20,165.40 = 9,552.90/x
  3. Step 3: Cross multiply
    13,440.90x = 20,165.40 × 9,552.90
  4. Step 4: Simplify right side
    13,440.90x = 192,638,049.66
  5. Step 5: Solve for x
    x = 192,638,049.66/13,440.90
  6. Step 6: Final answer
    x = 14,332.23

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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.