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Finding the Fourth Proportional to 23,486.50, 32,411.40 and 12,876.52

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Solution

The fourth proportional to 23,486.50, 32,411.40 and 12,876.52 is: 17,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.50 : 32,411.40 = 12,876.52 : x
  2. Step 2: Convert to fraction form
    23,486.50/32,411.40 = 12,876.52/x
  3. Step 3: Cross multiply
    23,486.50x = 32,411.40 × 12,876.52
  4. Step 4: Simplify right side
    23,486.50x = 417,346,040.33
  5. Step 5: Solve for x
    x = 417,346,040.33/23,486.50
  6. Step 6: Final answer
    x = 17,769.61

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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.