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Finding the Fourth Proportional to 22,421.34, 33,632.01 and 6,839.10

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Solution

The fourth proportional to 22,421.34, 33,632.01 and 6,839.10 is: 10,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.34 : 33,632.01 = 6,839.10 : x
  2. Step 2: Convert to fraction form
    22,421.34/33,632.01 = 6,839.10/x
  3. Step 3: Cross multiply
    22,421.34x = 33,632.01 × 6,839.10
  4. Step 4: Simplify right side
    22,421.34x = 230,012,679.59
  5. Step 5: Solve for x
    x = 230,012,679.59/22,421.34
  6. Step 6: Final answer
    x = 10,258.65

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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.