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Finding the Fourth Proportional to 22,459.65, 33,692.46 and 7,664.58

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Solution

The fourth proportional to 22,459.65, 33,692.46 and 7,664.58 is: 11,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.65 : 33,692.46 = 7,664.58 : x
  2. Step 2: Convert to fraction form
    22,459.65/33,692.46 = 7,664.58/x
  3. Step 3: Cross multiply
    22,459.65x = 33,692.46 × 7,664.58
  4. Step 4: Simplify right side
    22,459.65x = 258,238,555.07
  5. Step 5: Solve for x
    x = 258,238,555.07/22,459.65
  6. Step 6: Final answer
    x = 11,497.89

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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.