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Finding the Fourth Proportional to 12,976.80, 19,417.20 and 9,520.80

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Solution

The fourth proportional to 12,976.80, 19,417.20 and 9,520.80 is: 14,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976.80 : 19,417.20 = 9,520.80 : x
  2. Step 2: Convert to fraction form
    12,976.80/19,417.20 = 9,520.80/x
  3. Step 3: Cross multiply
    12,976.80x = 19,417.20 × 9,520.80
  4. Step 4: Simplify right side
    12,976.80x = 184,867,277.76
  5. Step 5: Solve for x
    x = 184,867,277.76/12,976.80
  6. Step 6: Final answer
    x = 14,245.98

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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.