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Finding the Fourth Proportional to 12,840.80, 19,264.80 and 6,267.20

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Solution

The fourth proportional to 12,840.80, 19,264.80 and 6,267.20 is: 9,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.80 : 19,264.80 = 6,267.20 : x
  2. Step 2: Convert to fraction form
    12,840.80/19,264.80 = 6,267.20/x
  3. Step 3: Cross multiply
    12,840.80x = 19,264.80 × 6,267.20
  4. Step 4: Simplify right side
    12,840.80x = 120,736,354.56
  5. Step 5: Solve for x
    x = 120,736,354.56/12,840.80
  6. Step 6: Final answer
    x = 9,402.56

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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.