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Finding the Fourth Proportional to 22,220.34, 30,664 and 12,148.80

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Solution

The fourth proportional to 22,220.34, 30,664 and 12,148.80 is: 16,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,220.34 : 30,664 = 12,148.80 : x
  2. Step 2: Convert to fraction form
    22,220.34/30,664 = 12,148.80/x
  3. Step 3: Cross multiply
    22,220.34x = 30,664 × 12,148.80
  4. Step 4: Simplify right side
    22,220.34x = 372,530,803.20
  5. Step 5: Solve for x
    x = 372,530,803.20/22,220.34
  6. Step 6: Final answer
    x = 16,765.31

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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.