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Finding the Fourth Proportional to 11,912.50, 17,864.29 and 9,566.74

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Solution

The fourth proportional to 11,912.50, 17,864.29 and 9,566.74 is: 14,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.50 : 17,864.29 = 9,566.74 : x
  2. Step 2: Convert to fraction form
    11,912.50/17,864.29 = 9,566.74/x
  3. Step 3: Cross multiply
    11,912.50x = 17,864.29 × 9,566.74
  4. Step 4: Simplify right side
    11,912.50x = 170,903,017.71
  5. Step 5: Solve for x
    x = 170,903,017.71/11,912.50
  6. Step 6: Final answer
    x = 14,346.53

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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.