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Finding the Fourth Proportional to 12,352.80, 18,529.20 and 5,785.32

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Solution

The fourth proportional to 12,352.80, 18,529.20 and 5,785.32 is: 8,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.80 : 18,529.20 = 5,785.32 : x
  2. Step 2: Convert to fraction form
    12,352.80/18,529.20 = 5,785.32/x
  3. Step 3: Cross multiply
    12,352.80x = 18,529.20 × 5,785.32
  4. Step 4: Simplify right side
    12,352.80x = 107,197,351.34
  5. Step 5: Solve for x
    x = 107,197,351.34/12,352.80
  6. Step 6: Final answer
    x = 8,677.98

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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.