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Finding the Fourth Proportional to 13,882.32, 19,158.12 and 7,913.84

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Solution

The fourth proportional to 13,882.32, 19,158.12 and 7,913.84 is: 10,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.32 : 19,158.12 = 7,913.84 : x
  2. Step 2: Convert to fraction form
    13,882.32/19,158.12 = 7,913.84/x
  3. Step 3: Cross multiply
    13,882.32x = 19,158.12 × 7,913.84
  4. Step 4: Simplify right side
    13,882.32x = 151,614,200.59
  5. Step 5: Solve for x
    x = 151,614,200.59/13,882.32
  6. Step 6: Final answer
    x = 10,921.39

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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.