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Finding the Fourth Proportional to 38,574.19, 57,865.94 and 13,609.11

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Solution

The fourth proportional to 38,574.19, 57,865.94 and 13,609.11 is: 20,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,574.19 : 57,865.94 = 13,609.11 : x
  2. Step 2: Convert to fraction form
    38,574.19/57,865.94 = 13,609.11/x
  3. Step 3: Cross multiply
    38,574.19x = 57,865.94 × 13,609.11
  4. Step 4: Simplify right side
    38,574.19x = 787,503,942.71
  5. Step 5: Solve for x
    x = 787,503,942.71/38,574.19
  6. Step 6: Final answer
    x = 20,415.31

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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.