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Finding the Fourth Proportional to 17,404.78, 24,018.62 and 9,447

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Solution

The fourth proportional to 17,404.78, 24,018.62 and 9,447 is: 13,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,404.78 : 24,018.62 = 9,447 : x
  2. Step 2: Convert to fraction form
    17,404.78/24,018.62 = 9,447/x
  3. Step 3: Cross multiply
    17,404.78x = 24,018.62 × 9,447
  4. Step 4: Simplify right side
    17,404.78x = 226,903,855.91
  5. Step 5: Solve for x
    x = 226,903,855.91/17,404.78
  6. Step 6: Final answer
    x = 13,036.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.