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Finding the Fourth Proportional to 12,340.90, 18,470.34 and 9,864.12

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Solution

The fourth proportional to 12,340.90, 18,470.34 and 9,864.12 is: 14,763.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.90 : 18,470.34 = 9,864.12 : x
  2. Step 2: Convert to fraction form
    12,340.90/18,470.34 = 9,864.12/x
  3. Step 3: Cross multiply
    12,340.90x = 18,470.34 × 9,864.12
  4. Step 4: Simplify right side
    12,340.90x = 182,193,650.20
  5. Step 5: Solve for x
    x = 182,193,650.20/12,340.90
  6. Step 6: Final answer
    x = 14,763.40

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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.