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Finding the Fourth Proportional to 13,880.56, 19,154.68 and 7,914.15

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Solution

The fourth proportional to 13,880.56, 19,154.68 and 7,914.15 is: 10,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.56 : 19,154.68 = 7,914.15 : x
  2. Step 2: Convert to fraction form
    13,880.56/19,154.68 = 7,914.15/x
  3. Step 3: Cross multiply
    13,880.56x = 19,154.68 × 7,914.15
  4. Step 4: Simplify right side
    13,880.56x = 151,593,010.72
  5. Step 5: Solve for x
    x = 151,593,010.72/13,880.56
  6. Step 6: Final answer
    x = 10,921.25

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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.