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Finding the Fourth Proportional to 14,255.81, 19,672.16 and 7,882.01

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Solution

The fourth proportional to 14,255.81, 19,672.16 and 7,882.01 is: 10,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255.81 : 19,672.16 = 7,882.01 : x
  2. Step 2: Convert to fraction form
    14,255.81/19,672.16 = 7,882.01/x
  3. Step 3: Cross multiply
    14,255.81x = 19,672.16 × 7,882.01
  4. Step 4: Simplify right side
    14,255.81x = 155,056,171.61
  5. Step 5: Solve for x
    x = 155,056,171.61/14,255.81
  6. Step 6: Final answer
    x = 10,876.70

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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.