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Finding the Fourth Proportional to 12,990.72, 19,456.80 and 7,785.60

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Solution

The fourth proportional to 12,990.72, 19,456.80 and 7,785.60 is: 11,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990.72 : 19,456.80 = 7,785.60 : x
  2. Step 2: Convert to fraction form
    12,990.72/19,456.80 = 7,785.60/x
  3. Step 3: Cross multiply
    12,990.72x = 19,456.80 × 7,785.60
  4. Step 4: Simplify right side
    12,990.72x = 151,482,862.08
  5. Step 5: Solve for x
    x = 151,482,862.08/12,990.72
  6. Step 6: Final answer
    x = 11,660.85

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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.