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Finding the Fourth Proportional to 22,626.12, 33,926.85 and 7,833.81

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Solution

The fourth proportional to 22,626.12, 33,926.85 and 7,833.81 is: 11,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.12 : 33,926.85 = 7,833.81 : x
  2. Step 2: Convert to fraction form
    22,626.12/33,926.85 = 7,833.81/x
  3. Step 3: Cross multiply
    22,626.12x = 33,926.85 × 7,833.81
  4. Step 4: Simplify right side
    22,626.12x = 265,776,496.80
  5. Step 5: Solve for x
    x = 265,776,496.80/22,626.12
  6. Step 6: Final answer
    x = 11,746.45

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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.