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Finding the Fourth Proportional to 23,357.28, 32,227.02 and 13,919.16

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Solution

The fourth proportional to 23,357.28, 32,227.02 and 13,919.16 is: 19,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,357.28 : 32,227.02 = 13,919.16 : x
  2. Step 2: Convert to fraction form
    23,357.28/32,227.02 = 13,919.16/x
  3. Step 3: Cross multiply
    23,357.28x = 32,227.02 × 13,919.16
  4. Step 4: Simplify right side
    23,357.28x = 448,573,047.70
  5. Step 5: Solve for x
    x = 448,573,047.70/23,357.28
  6. Step 6: Final answer
    x = 19,204.85

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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.