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Finding the Fourth Proportional to 15,212, 22,821.88 and 10,778.42

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Solution

The fourth proportional to 15,212, 22,821.88 and 10,778.42 is: 16,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212 : 22,821.88 = 10,778.42 : x
  2. Step 2: Convert to fraction form
    15,212/22,821.88 = 10,778.42/x
  3. Step 3: Cross multiply
    15,212x = 22,821.88 × 10,778.42
  4. Step 4: Simplify right side
    15,212x = 245,983,807.83
  5. Step 5: Solve for x
    x = 245,983,807.83/15,212
  6. Step 6: Final answer
    x = 16,170.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.