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Finding the Fourth Proportional to 12,687.18, 19,052.55 and 7,785.60

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Solution

The fourth proportional to 12,687.18, 19,052.55 and 7,785.60 is: 11,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.18 : 19,052.55 = 7,785.60 : x
  2. Step 2: Convert to fraction form
    12,687.18/19,052.55 = 7,785.60/x
  3. Step 3: Cross multiply
    12,687.18x = 19,052.55 × 7,785.60
  4. Step 4: Simplify right side
    12,687.18x = 148,335,533.28
  5. Step 5: Solve for x
    x = 148,335,533.28/12,687.18
  6. Step 6: Final answer
    x = 11,691.77

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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.