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Finding the Fourth Proportional to 13,889.32, 19,167.24 and 7,839.16

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Solution

The fourth proportional to 13,889.32, 19,167.24 and 7,839.16 is: 10,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.32 : 19,167.24 = 7,839.16 : x
  2. Step 2: Convert to fraction form
    13,889.32/19,167.24 = 7,839.16/x
  3. Step 3: Cross multiply
    13,889.32x = 19,167.24 × 7,839.16
  4. Step 4: Simplify right side
    13,889.32x = 150,255,061.12
  5. Step 5: Solve for x
    x = 150,255,061.12/13,889.32
  6. Step 6: Final answer
    x = 10,818.03

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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.