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Finding the Fourth Proportional to 23,904, 35,868.96 and 11,592

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Solution

The fourth proportional to 23,904, 35,868.96 and 11,592 is: 17,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,904 : 35,868.96 = 11,592 : x
  2. Step 2: Convert to fraction form
    23,904/35,868.96 = 11,592/x
  3. Step 3: Cross multiply
    23,904x = 35,868.96 × 11,592
  4. Step 4: Simplify right side
    23,904x = 415,792,984.32
  5. Step 5: Solve for x
    x = 415,792,984.32/23,904
  6. Step 6: Final answer
    x = 17,394.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.