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Finding the Fourth Proportional to 12,394.18, 18,586.17 and 6,151.90

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Solution

The fourth proportional to 12,394.18, 18,586.17 and 6,151.90 is: 9,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.18 : 18,586.17 = 6,151.90 : x
  2. Step 2: Convert to fraction form
    12,394.18/18,586.17 = 6,151.90/x
  3. Step 3: Cross multiply
    12,394.18x = 18,586.17 × 6,151.90
  4. Step 4: Simplify right side
    12,394.18x = 114,340,259.22
  5. Step 5: Solve for x
    x = 114,340,259.22/12,394.18
  6. Step 6: Final answer
    x = 9,225.32

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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.