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Finding the Fourth Proportional to 12,863.54, 17,746.46 and 8,385.72

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Solution

The fourth proportional to 12,863.54, 17,746.46 and 8,385.72 is: 11,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.54 : 17,746.46 = 8,385.72 : x
  2. Step 2: Convert to fraction form
    12,863.54/17,746.46 = 8,385.72/x
  3. Step 3: Cross multiply
    12,863.54x = 17,746.46 × 8,385.72
  4. Step 4: Simplify right side
    12,863.54x = 148,816,844.55
  5. Step 5: Solve for x
    x = 148,816,844.55/12,863.54
  6. Step 6: Final answer
    x = 11,568.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.