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Finding the Fourth Proportional to 12,462.64, 18,689.88 and 4,140.40

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Solution

The fourth proportional to 12,462.64, 18,689.88 and 4,140.40 is: 6,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.64 : 18,689.88 = 4,140.40 : x
  2. Step 2: Convert to fraction form
    12,462.64/18,689.88 = 4,140.40/x
  3. Step 3: Cross multiply
    12,462.64x = 18,689.88 × 4,140.40
  4. Step 4: Simplify right side
    12,462.64x = 77,383,579.15
  5. Step 5: Solve for x
    x = 77,383,579.15/12,462.64
  6. Step 6: Final answer
    x = 6,209.24

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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.