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Finding the Fourth Proportional to 13,178.76, 18,193.38 and 8,952.18

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Solution

The fourth proportional to 13,178.76, 18,193.38 and 8,952.18 is: 12,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.76 : 18,193.38 = 8,952.18 : x
  2. Step 2: Convert to fraction form
    13,178.76/18,193.38 = 8,952.18/x
  3. Step 3: Cross multiply
    13,178.76x = 18,193.38 × 8,952.18
  4. Step 4: Simplify right side
    13,178.76x = 162,870,276.84
  5. Step 5: Solve for x
    x = 162,870,276.84/13,178.76
  6. Step 6: Final answer
    x = 12,358.55

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Why These Related Problems?

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