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Finding the Fourth Proportional to 22,235.78, 30,685.35 and 12,164.18

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Solution

The fourth proportional to 22,235.78, 30,685.35 and 12,164.18 is: 16,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,235.78 : 30,685.35 = 12,164.18 : x
  2. Step 2: Convert to fraction form
    22,235.78/30,685.35 = 12,164.18/x
  3. Step 3: Cross multiply
    22,235.78x = 30,685.35 × 12,164.18
  4. Step 4: Simplify right side
    22,235.78x = 373,262,120.76
  5. Step 5: Solve for x
    x = 373,262,120.76/22,235.78
  6. Step 6: Final answer
    x = 16,786.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.