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Finding the Fourth Proportional to 22,076.61, 33,116.54 and 6,494.91

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Solution

The fourth proportional to 22,076.61, 33,116.54 and 6,494.91 is: 9,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076.61 : 33,116.54 = 6,494.91 : x
  2. Step 2: Convert to fraction form
    22,076.61/33,116.54 = 6,494.91/x
  3. Step 3: Cross multiply
    22,076.61x = 33,116.54 × 6,494.91
  4. Step 4: Simplify right side
    22,076.61x = 215,088,914.34
  5. Step 5: Solve for x
    x = 215,088,914.34/22,076.61
  6. Step 6: Final answer
    x = 9,742.84

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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.