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Finding the Fourth Proportional to 17,328, 23,916.96 and 9,880.32

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Solution

The fourth proportional to 17,328, 23,916.96 and 9,880.32 is: 13,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,328 : 23,916.96 = 9,880.32 : x
  2. Step 2: Convert to fraction form
    17,328/23,916.96 = 9,880.32/x
  3. Step 3: Cross multiply
    17,328x = 23,916.96 × 9,880.32
  4. Step 4: Simplify right side
    17,328x = 236,307,218.23
  5. Step 5: Solve for x
    x = 236,307,218.23/17,328
  6. Step 6: Final answer
    x = 13,637.30

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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.