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Finding the Fourth Proportional to 23,352.54, 32,226.42 and 12,742.14

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Solution

The fourth proportional to 23,352.54, 32,226.42 and 12,742.14 is: 17,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,352.54 : 32,226.42 = 12,742.14 : x
  2. Step 2: Convert to fraction form
    23,352.54/32,226.42 = 12,742.14/x
  3. Step 3: Cross multiply
    23,352.54x = 32,226.42 × 12,742.14
  4. Step 4: Simplify right side
    23,352.54x = 410,633,555.34
  5. Step 5: Solve for x
    x = 410,633,555.34/23,352.54
  6. Step 6: Final answer
    x = 17,584.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.