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Finding the Fourth Proportional to 12,078.92, 18,117.68 and 6,153.98

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Solution

The fourth proportional to 12,078.92, 18,117.68 and 6,153.98 is: 9,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.92 : 18,117.68 = 6,153.98 : x
  2. Step 2: Convert to fraction form
    12,078.92/18,117.68 = 6,153.98/x
  3. Step 3: Cross multiply
    12,078.92x = 18,117.68 × 6,153.98
  4. Step 4: Simplify right side
    12,078.92x = 111,495,719.01
  5. Step 5: Solve for x
    x = 111,495,719.01/12,078.92
  6. Step 6: Final answer
    x = 9,230.60

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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.