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Finding the Fourth Proportional to 22,097.16, 33,129.54 and 10,404

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Solution

The fourth proportional to 22,097.16, 33,129.54 and 10,404 is: 15,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.16 : 33,129.54 = 10,404 : x
  2. Step 2: Convert to fraction form
    22,097.16/33,129.54 = 10,404/x
  3. Step 3: Cross multiply
    22,097.16x = 33,129.54 × 10,404
  4. Step 4: Simplify right side
    22,097.16x = 344,679,734.16
  5. Step 5: Solve for x
    x = 344,679,734.16/22,097.16
  6. Step 6: Final answer
    x = 15,598.37

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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.