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Finding the Fourth Proportional to 13,206.70, 18,226.92 and 7,904.44

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Solution

The fourth proportional to 13,206.70, 18,226.92 and 7,904.44 is: 10,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.70 : 18,226.92 = 7,904.44 : x
  2. Step 2: Convert to fraction form
    13,206.70/18,226.92 = 7,904.44/x
  3. Step 3: Cross multiply
    13,206.70x = 18,226.92 × 7,904.44
  4. Step 4: Simplify right side
    13,206.70x = 144,073,595.52
  5. Step 5: Solve for x
    x = 144,073,595.52/13,206.70
  6. Step 6: Final answer
    x = 10,909.13

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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.