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Finding the Fourth Proportional to 11,571.95, 17,350.13 and 9,353.46

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Solution

The fourth proportional to 11,571.95, 17,350.13 and 9,353.46 is: 14,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.95 : 17,350.13 = 9,353.46 : x
  2. Step 2: Convert to fraction form
    11,571.95/17,350.13 = 9,353.46/x
  3. Step 3: Cross multiply
    11,571.95x = 17,350.13 × 9,353.46
  4. Step 4: Simplify right side
    11,571.95x = 162,283,700.18
  5. Step 5: Solve for x
    x = 162,283,700.18/11,571.95
  6. Step 6: Final answer
    x = 14,023.89

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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.