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Finding the Fourth Proportional to 23,712.54, 32,709.62 and 15,211.65

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Solution

The fourth proportional to 23,712.54, 32,709.62 and 15,211.65 is: 20,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.54 : 32,709.62 = 15,211.65 : x
  2. Step 2: Convert to fraction form
    23,712.54/32,709.62 = 15,211.65/x
  3. Step 3: Cross multiply
    23,712.54x = 32,709.62 × 15,211.65
  4. Step 4: Simplify right side
    23,712.54x = 497,567,215.01
  5. Step 5: Solve for x
    x = 497,567,215.01/23,712.54
  6. Step 6: Final answer
    x = 20,983.29

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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.