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Finding the Fourth Proportional to 17,328.16, 23,912.32 and 9,774.38

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Solution

The fourth proportional to 17,328.16, 23,912.32 and 9,774.38 is: 13,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,328.16 : 23,912.32 = 9,774.38 : x
  2. Step 2: Convert to fraction form
    17,328.16/23,912.32 = 9,774.38/x
  3. Step 3: Cross multiply
    17,328.16x = 23,912.32 × 9,774.38
  4. Step 4: Simplify right side
    17,328.16x = 233,728,102.36
  5. Step 5: Solve for x
    x = 233,728,102.36/17,328.16
  6. Step 6: Final answer
    x = 13,488.34

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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.