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Finding the Fourth Proportional to 12,454.64, 18,682.02 and 3,689.72

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Solution

The fourth proportional to 12,454.64, 18,682.02 and 3,689.72 is: 5,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.64 : 18,682.02 = 3,689.72 : x
  2. Step 2: Convert to fraction form
    12,454.64/18,682.02 = 3,689.72/x
  3. Step 3: Cross multiply
    12,454.64x = 18,682.02 × 3,689.72
  4. Step 4: Simplify right side
    12,454.64x = 68,931,422.83
  5. Step 5: Solve for x
    x = 68,931,422.83/12,454.64
  6. Step 6: Final answer
    x = 5,534.60

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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.