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Finding the Fourth Proportional to 22,102.88, 30,501.97 and 12,166.88

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Solution

The fourth proportional to 22,102.88, 30,501.97 and 12,166.88 is: 16,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.88 : 30,501.97 = 12,166.88 : x
  2. Step 2: Convert to fraction form
    22,102.88/30,501.97 = 12,166.88/x
  3. Step 3: Cross multiply
    22,102.88x = 30,501.97 × 12,166.88
  4. Step 4: Simplify right side
    22,102.88x = 371,113,625.83
  5. Step 5: Solve for x
    x = 371,113,625.83/22,102.88
  6. Step 6: Final answer
    x = 16,790.29

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1.5x scale

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.