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Finding the Fourth Proportional to 12,315.81, 18,473.61 and 8,357.28

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Solution

The fourth proportional to 12,315.81, 18,473.61 and 8,357.28 is: 12,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.81 : 18,473.61 = 8,357.28 : x
  2. Step 2: Convert to fraction form
    12,315.81/18,473.61 = 8,357.28/x
  3. Step 3: Cross multiply
    12,315.81x = 18,473.61 × 8,357.28
  4. Step 4: Simplify right side
    12,315.81x = 154,389,131.38
  5. Step 5: Solve for x
    x = 154,389,131.38/12,315.81
  6. Step 6: Final answer
    x = 12,535.85

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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.