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Finding the Fourth Proportional to 13,812.60, 19,061.10 and 8,225.40

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Solution

The fourth proportional to 13,812.60, 19,061.10 and 8,225.40 is: 11,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.60 : 19,061.10 = 8,225.40 : x
  2. Step 2: Convert to fraction form
    13,812.60/19,061.10 = 8,225.40/x
  3. Step 3: Cross multiply
    13,812.60x = 19,061.10 × 8,225.40
  4. Step 4: Simplify right side
    13,812.60x = 156,785,171.94
  5. Step 5: Solve for x
    x = 156,785,171.94/13,812.60
  6. Step 6: Final answer
    x = 11,350.88

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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.