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Finding the Fourth Proportional to 22,197.29, 30,632.25 and 12,765.84

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Solution

The fourth proportional to 22,197.29, 30,632.25 and 12,765.84 is: 17,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,197.29 : 30,632.25 = 12,765.84 : x
  2. Step 2: Convert to fraction form
    22,197.29/30,632.25 = 12,765.84/x
  3. Step 3: Cross multiply
    22,197.29x = 30,632.25 × 12,765.84
  4. Step 4: Simplify right side
    22,197.29x = 391,046,402.34
  5. Step 5: Solve for x
    x = 391,046,402.34/22,197.29
  6. Step 6: Final answer
    x = 17,616.86

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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.