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Finding the Fourth Proportional to 14,478.17, 19,978.22 and 8,103.87

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Solution

The fourth proportional to 14,478.17, 19,978.22 and 8,103.87 is: 11,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.17 : 19,978.22 = 8,103.87 : x
  2. Step 2: Convert to fraction form
    14,478.17/19,978.22 = 8,103.87/x
  3. Step 3: Cross multiply
    14,478.17x = 19,978.22 × 8,103.87
  4. Step 4: Simplify right side
    14,478.17x = 161,900,951.37
  5. Step 5: Solve for x
    x = 161,900,951.37/14,478.17
  6. Step 6: Final answer
    x = 11,182.42

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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.