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Finding the Fourth Proportional to 22,584.84, 33,848.76 and 11,494.32

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Solution

The fourth proportional to 22,584.84, 33,848.76 and 11,494.32 is: 17,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.84 : 33,848.76 = 11,494.32 : x
  2. Step 2: Convert to fraction form
    22,584.84/33,848.76 = 11,494.32/x
  3. Step 3: Cross multiply
    22,584.84x = 33,848.76 × 11,494.32
  4. Step 4: Simplify right side
    22,584.84x = 389,068,479.04
  5. Step 5: Solve for x
    x = 389,068,479.04/22,584.84
  6. Step 6: Final answer
    x = 17,226.98

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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.