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Finding the Fourth Proportional to 12,910.80, 19,384.20 and 8,259.60

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Solution

The fourth proportional to 12,910.80, 19,384.20 and 8,259.60 is: 12,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.80 : 19,384.20 = 8,259.60 : x
  2. Step 2: Convert to fraction form
    12,910.80/19,384.20 = 8,259.60/x
  3. Step 3: Cross multiply
    12,910.80x = 19,384.20 × 8,259.60
  4. Step 4: Simplify right side
    12,910.80x = 160,105,738.32
  5. Step 5: Solve for x
    x = 160,105,738.32/12,910.80
  6. Step 6: Final answer
    x = 12,400.92

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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.