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Finding the Fourth Proportional to 17,469.36, 24,108.21 and 9,916.02

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Solution

The fourth proportional to 17,469.36, 24,108.21 and 9,916.02 is: 13,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469.36 : 24,108.21 = 9,916.02 : x
  2. Step 2: Convert to fraction form
    17,469.36/24,108.21 = 9,916.02/x
  3. Step 3: Cross multiply
    17,469.36x = 24,108.21 × 9,916.02
  4. Step 4: Simplify right side
    17,469.36x = 239,057,492.52
  5. Step 5: Solve for x
    x = 239,057,492.52/17,469.36
  6. Step 6: Final answer
    x = 13,684.39

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Why These Related Problems?

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