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Finding the Fourth Proportional to 10,529.80, 15,794.70 and 9,233.80

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Solution

The fourth proportional to 10,529.80, 15,794.70 and 9,233.80 is: 13,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.80 : 15,794.70 = 9,233.80 : x
  2. Step 2: Convert to fraction form
    10,529.80/15,794.70 = 9,233.80/x
  3. Step 3: Cross multiply
    10,529.80x = 15,794.70 × 9,233.80
  4. Step 4: Simplify right side
    10,529.80x = 145,845,100.86
  5. Step 5: Solve for x
    x = 145,845,100.86/10,529.80
  6. Step 6: Final answer
    x = 13,850.70

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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.