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Finding the Fourth Proportional to 12,378.70, 18,574.17 and 5,809.60

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Solution

The fourth proportional to 12,378.70, 18,574.17 and 5,809.60 is: 8,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.70 : 18,574.17 = 5,809.60 : x
  2. Step 2: Convert to fraction form
    12,378.70/18,574.17 = 5,809.60/x
  3. Step 3: Cross multiply
    12,378.70x = 18,574.17 × 5,809.60
  4. Step 4: Simplify right side
    12,378.70x = 107,908,498.03
  5. Step 5: Solve for x
    x = 107,908,498.03/12,378.70
  6. Step 6: Final answer
    x = 8,717.27

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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.