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Finding the Fourth Proportional to 12,352.80, 18,529.20 and 7,687.20

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Solution

The fourth proportional to 12,352.80, 18,529.20 and 7,687.20 is: 11,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.80 : 18,529.20 = 7,687.20 : x
  2. Step 2: Convert to fraction form
    12,352.80/18,529.20 = 7,687.20/x
  3. Step 3: Cross multiply
    12,352.80x = 18,529.20 × 7,687.20
  4. Step 4: Simplify right side
    12,352.80x = 142,437,666.24
  5. Step 5: Solve for x
    x = 142,437,666.24/12,352.80
  6. Step 6: Final answer
    x = 11,530.80

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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.