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Finding the Fourth Proportional to 23,456.49, 32,372.10 and 12,847.65

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Solution

The fourth proportional to 23,456.49, 32,372.10 and 12,847.65 is: 17,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.49 : 32,372.10 = 12,847.65 : x
  2. Step 2: Convert to fraction form
    23,456.49/32,372.10 = 12,847.65/x
  3. Step 3: Cross multiply
    23,456.49x = 32,372.10 × 12,847.65
  4. Step 4: Simplify right side
    23,456.49x = 415,905,410.57
  5. Step 5: Solve for x
    x = 415,905,410.57/23,456.49
  6. Step 6: Final answer
    x = 17,730.93

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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.