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Finding the Fourth Proportional to 15,896.66, 23,832.63 and 7,886.57

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Solution

The fourth proportional to 15,896.66, 23,832.63 and 7,886.57 is: 11,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.66 : 23,832.63 = 7,886.57 : x
  2. Step 2: Convert to fraction form
    15,896.66/23,832.63 = 7,886.57/x
  3. Step 3: Cross multiply
    15,896.66x = 23,832.63 × 7,886.57
  4. Step 4: Simplify right side
    15,896.66x = 187,957,585.62
  5. Step 5: Solve for x
    x = 187,957,585.62/15,896.66
  6. Step 6: Final answer
    x = 11,823.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.