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Finding the Fourth Proportional to 22,489, 33,710.46 and 9,349

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Solution

The fourth proportional to 22,489, 33,710.46 and 9,349 is: 14,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489 : 33,710.46 = 9,349 : x
  2. Step 2: Convert to fraction form
    22,489/33,710.46 = 9,349/x
  3. Step 3: Cross multiply
    22,489x = 33,710.46 × 9,349
  4. Step 4: Simplify right side
    22,489x = 315,159,090.54
  5. Step 5: Solve for x
    x = 315,159,090.54/22,489
  6. Step 6: Final answer
    x = 14,013.92

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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.