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Finding the Fourth Proportional to 14,255.66, 19,672.46 and 7,882.08

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Solution

The fourth proportional to 14,255.66, 19,672.46 and 7,882.08 is: 10,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255.66 : 19,672.46 = 7,882.08 : x
  2. Step 2: Convert to fraction form
    14,255.66/19,672.46 = 7,882.08/x
  3. Step 3: Cross multiply
    14,255.66x = 19,672.46 × 7,882.08
  4. Step 4: Simplify right side
    14,255.66x = 155,060,024.67
  5. Step 5: Solve for x
    x = 155,060,024.67/14,255.66
  6. Step 6: Final answer
    x = 10,877.08

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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.