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Finding the Fourth Proportional to 22,045.84, 33,068.67 and 8,005.84

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Solution

The fourth proportional to 22,045.84, 33,068.67 and 8,005.84 is: 12,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,045.84 : 33,068.67 = 8,005.84 : x
  2. Step 2: Convert to fraction form
    22,045.84/33,068.67 = 8,005.84/x
  3. Step 3: Cross multiply
    22,045.84x = 33,068.67 × 8,005.84
  4. Step 4: Simplify right side
    22,045.84x = 264,742,481.03
  5. Step 5: Solve for x
    x = 264,742,481.03/22,045.84
  6. Step 6: Final answer
    x = 12,008.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.