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Finding the Fourth Proportional to 12,574.37, 18,864.48 and 3,689.34

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Solution

The fourth proportional to 12,574.37, 18,864.48 and 3,689.34 is: 5,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.37 : 18,864.48 = 3,689.34 : x
  2. Step 2: Convert to fraction form
    12,574.37/18,864.48 = 3,689.34/x
  3. Step 3: Cross multiply
    12,574.37x = 18,864.48 × 3,689.34
  4. Step 4: Simplify right side
    12,574.37x = 69,597,498.72
  5. Step 5: Solve for x
    x = 69,597,498.72/12,574.37
  6. Step 6: Final answer
    x = 5,534.87

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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.