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Finding the Fourth Proportional to 15,638.30, 21,579.69 and 8,831.91

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Solution

The fourth proportional to 15,638.30, 21,579.69 and 8,831.91 is: 12,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.30 : 21,579.69 = 8,831.91 : x
  2. Step 2: Convert to fraction form
    15,638.30/21,579.69 = 8,831.91/x
  3. Step 3: Cross multiply
    15,638.30x = 21,579.69 × 8,831.91
  4. Step 4: Simplify right side
    15,638.30x = 190,589,879.91
  5. Step 5: Solve for x
    x = 190,589,879.91/15,638.30
  6. Step 6: Final answer
    x = 12,187.38

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Why These Related Problems?

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