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Finding the Fourth Proportional to 22,196.83, 30,632.54 and 12,765.40

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Solution

The fourth proportional to 22,196.83, 30,632.54 and 12,765.40 is: 17,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.83 : 30,632.54 = 12,765.40 : x
  2. Step 2: Convert to fraction form
    22,196.83/30,632.54 = 12,765.40/x
  3. Step 3: Cross multiply
    22,196.83x = 30,632.54 × 12,765.40
  4. Step 4: Simplify right side
    22,196.83x = 391,036,562.29
  5. Step 5: Solve for x
    x = 391,036,562.29/22,196.83
  6. Step 6: Final answer
    x = 17,616.78

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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.