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Finding the Fourth Proportional to 12,352.32, 18,532.20 and 5,782.32

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Solution

The fourth proportional to 12,352.32, 18,532.20 and 5,782.32 is: 8,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.32 : 18,532.20 = 5,782.32 : x
  2. Step 2: Convert to fraction form
    12,352.32/18,532.20 = 5,782.32/x
  3. Step 3: Cross multiply
    12,352.32x = 18,532.20 × 5,782.32
  4. Step 4: Simplify right side
    12,352.32x = 107,159,110.70
  5. Step 5: Solve for x
    x = 107,159,110.70/12,352.32
  6. Step 6: Final answer
    x = 8,675.22

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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.