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Finding the Fourth Proportional to 14,049.41, 19,386.20 and 8,078.90

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Solution

The fourth proportional to 14,049.41, 19,386.20 and 8,078.90 is: 11,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.41 : 19,386.20 = 8,078.90 : x
  2. Step 2: Convert to fraction form
    14,049.41/19,386.20 = 8,078.90/x
  3. Step 3: Cross multiply
    14,049.41x = 19,386.20 × 8,078.90
  4. Step 4: Simplify right side
    14,049.41x = 156,619,094.45
  5. Step 5: Solve for x
    x = 156,619,094.45/14,049.41
  6. Step 6: Final answer
    x = 11,147.74

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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.