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Finding the Fourth Proportional to 12,471.24, 18,701.38 and 4,674.59

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Solution

The fourth proportional to 12,471.24, 18,701.38 and 4,674.59 is: 7,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.24 : 18,701.38 = 4,674.59 : x
  2. Step 2: Convert to fraction form
    12,471.24/18,701.38 = 4,674.59/x
  3. Step 3: Cross multiply
    12,471.24x = 18,701.38 × 4,674.59
  4. Step 4: Simplify right side
    12,471.24x = 87,421,283.93
  5. Step 5: Solve for x
    x = 87,421,283.93/12,471.24
  6. Step 6: Final answer
    x = 7,009.83

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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.