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Finding the Fourth Proportional to 22,635.90, 33,931.98 and 7,833.69

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Solution

The fourth proportional to 22,635.90, 33,931.98 and 7,833.69 is: 11,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.90 : 33,931.98 = 7,833.69 : x
  2. Step 2: Convert to fraction form
    22,635.90/33,931.98 = 7,833.69/x
  3. Step 3: Cross multiply
    22,635.90x = 33,931.98 × 7,833.69
  4. Step 4: Simplify right side
    22,635.90x = 265,812,612.41
  5. Step 5: Solve for x
    x = 265,812,612.41/22,635.90
  6. Step 6: Final answer
    x = 11,742.97

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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.