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Finding the Fourth Proportional to 12,078.72, 18,098.64 and 10,225.44

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Solution

The fourth proportional to 12,078.72, 18,098.64 and 10,225.44 is: 15,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.72 : 18,098.64 = 10,225.44 : x
  2. Step 2: Convert to fraction form
    12,078.72/18,098.64 = 10,225.44/x
  3. Step 3: Cross multiply
    12,078.72x = 18,098.64 × 10,225.44
  4. Step 4: Simplify right side
    12,078.72x = 185,066,557.40
  5. Step 5: Solve for x
    x = 185,066,557.40/12,078.72
  6. Step 6: Final answer
    x = 15,321.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.