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Finding the Fourth Proportional to 12,957.60, 19,426.80 and 5,162.40

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Solution

The fourth proportional to 12,957.60, 19,426.80 and 5,162.40 is: 7,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.60 : 19,426.80 = 5,162.40 : x
  2. Step 2: Convert to fraction form
    12,957.60/19,426.80 = 5,162.40/x
  3. Step 3: Cross multiply
    12,957.60x = 19,426.80 × 5,162.40
  4. Step 4: Simplify right side
    12,957.60x = 100,288,912.32
  5. Step 5: Solve for x
    x = 100,288,912.32/12,957.60
  6. Step 6: Final answer
    x = 7,739.78

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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.