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Finding the Fourth Proportional to 13,532.40, 18,680.47 and 8,228.92

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Solution

The fourth proportional to 13,532.40, 18,680.47 and 8,228.92 is: 11,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.40 : 18,680.47 = 8,228.92 : x
  2. Step 2: Convert to fraction form
    13,532.40/18,680.47 = 8,228.92/x
  3. Step 3: Cross multiply
    13,532.40x = 18,680.47 × 8,228.92
  4. Step 4: Simplify right side
    13,532.40x = 153,720,093.19
  5. Step 5: Solve for x
    x = 153,720,093.19/13,532.40
  6. Step 6: Final answer
    x = 11,359.41

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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.