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Finding the Fourth Proportional to 22,608.84, 31,193.70 and 13,047.96

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Solution

The fourth proportional to 22,608.84, 31,193.70 and 13,047.96 is: 18,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608.84 : 31,193.70 = 13,047.96 : x
  2. Step 2: Convert to fraction form
    22,608.84/31,193.70 = 13,047.96/x
  3. Step 3: Cross multiply
    22,608.84x = 31,193.70 × 13,047.96
  4. Step 4: Simplify right side
    22,608.84x = 407,014,149.85
  5. Step 5: Solve for x
    x = 407,014,149.85/22,608.84
  6. Step 6: Final answer
    x = 18,002.43

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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.