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Finding the Fourth Proportional to 15,712.48, 21,680.11 and 8,813.86

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Solution

The fourth proportional to 15,712.48, 21,680.11 and 8,813.86 is: 12,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.48 : 21,680.11 = 8,813.86 : x
  2. Step 2: Convert to fraction form
    15,712.48/21,680.11 = 8,813.86/x
  3. Step 3: Cross multiply
    15,712.48x = 21,680.11 × 8,813.86
  4. Step 4: Simplify right side
    15,712.48x = 191,085,410.26
  5. Step 5: Solve for x
    x = 191,085,410.26/15,712.48
  6. Step 6: Final answer
    x = 12,161.38

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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.