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Finding the Fourth Proportional to 13,851.92, 19,109.84 and 8,470.28

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Solution

The fourth proportional to 13,851.92, 19,109.84 and 8,470.28 is: 11,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.92 : 19,109.84 = 8,470.28 : x
  2. Step 2: Convert to fraction form
    13,851.92/19,109.84 = 8,470.28/x
  3. Step 3: Cross multiply
    13,851.92x = 19,109.84 × 8,470.28
  4. Step 4: Simplify right side
    13,851.92x = 161,865,695.56
  5. Step 5: Solve for x
    x = 161,865,695.56/13,851.92
  6. Step 6: Final answer
    x = 11,685.43

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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.