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Finding the Fourth Proportional to 22,635.40, 33,931.23 and 7,833.19

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Solution

The fourth proportional to 22,635.40, 33,931.23 and 7,833.19 is: 11,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.40 : 33,931.23 = 7,833.19 : x
  2. Step 2: Convert to fraction form
    22,635.40/33,931.23 = 7,833.19/x
  3. Step 3: Cross multiply
    22,635.40x = 33,931.23 × 7,833.19
  4. Step 4: Simplify right side
    22,635.40x = 265,789,771.52
  5. Step 5: Solve for x
    x = 265,789,771.52/22,635.40
  6. Step 6: Final answer
    x = 11,742.22

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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.