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Finding the Fourth Proportional to 12,165.30, 18,255.15 and 8,017.30

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Solution

The fourth proportional to 12,165.30, 18,255.15 and 8,017.30 is: 12,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.30 : 18,255.15 = 8,017.30 : x
  2. Step 2: Convert to fraction form
    12,165.30/18,255.15 = 8,017.30/x
  3. Step 3: Cross multiply
    12,165.30x = 18,255.15 × 8,017.30
  4. Step 4: Simplify right side
    12,165.30x = 146,357,014.10
  5. Step 5: Solve for x
    x = 146,357,014.10/12,165.30
  6. Step 6: Final answer
    x = 12,030.70

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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.