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Finding the Fourth Proportional to 22,196.25, 30,632.04 and 12,765.42

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Solution

The fourth proportional to 22,196.25, 30,632.04 and 12,765.42 is: 17,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.25 : 30,632.04 = 12,765.42 : x
  2. Step 2: Convert to fraction form
    22,196.25/30,632.04 = 12,765.42/x
  3. Step 3: Cross multiply
    22,196.25x = 30,632.04 × 12,765.42
  4. Step 4: Simplify right side
    22,196.25x = 391,030,856.06
  5. Step 5: Solve for x
    x = 391,030,856.06/22,196.25
  6. Step 6: Final answer
    x = 17,616.98

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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.