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Finding the Fourth Proportional to 12,363.76, 17,049.45 and 8,106.40

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Solution

The fourth proportional to 12,363.76, 17,049.45 and 8,106.40 is: 11,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,363.76 : 17,049.45 = 8,106.40 : x
  2. Step 2: Convert to fraction form
    12,363.76/17,049.45 = 8,106.40/x
  3. Step 3: Cross multiply
    12,363.76x = 17,049.45 × 8,106.40
  4. Step 4: Simplify right side
    12,363.76x = 138,209,661.48
  5. Step 5: Solve for x
    x = 138,209,661.48/12,363.76
  6. Step 6: Final answer
    x = 11,178.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.