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Finding the Fourth Proportional to 22,488.68, 33,740.70 and 11,537

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Solution

The fourth proportional to 22,488.68, 33,740.70 and 11,537 is: 17,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,488.68 : 33,740.70 = 11,537 : x
  2. Step 2: Convert to fraction form
    22,488.68/33,740.70 = 11,537/x
  3. Step 3: Cross multiply
    22,488.68x = 33,740.70 × 11,537
  4. Step 4: Simplify right side
    22,488.68x = 389,266,455.90
  5. Step 5: Solve for x
    x = 389,266,455.90/22,488.68
  6. Step 6: Final answer
    x = 17,309.44

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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.