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Finding the Fourth Proportional to 14,046.30, 19,387.62 and 8,078.64

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Solution

The fourth proportional to 14,046.30, 19,387.62 and 8,078.64 is: 11,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.30 : 19,387.62 = 8,078.64 : x
  2. Step 2: Convert to fraction form
    14,046.30/19,387.62 = 8,078.64/x
  3. Step 3: Cross multiply
    14,046.30x = 19,387.62 × 8,078.64
  4. Step 4: Simplify right side
    14,046.30x = 156,625,602.44
  5. Step 5: Solve for x
    x = 156,625,602.44/14,046.30
  6. Step 6: Final answer
    x = 11,150.67

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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.