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Finding the Fourth Proportional to 17,276, 23,840.88 and 9,824

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Solution

The fourth proportional to 17,276, 23,840.88 and 9,824 is: 13,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,276 : 23,840.88 = 9,824 : x
  2. Step 2: Convert to fraction form
    17,276/23,840.88 = 9,824/x
  3. Step 3: Cross multiply
    17,276x = 23,840.88 × 9,824
  4. Step 4: Simplify right side
    17,276x = 234,212,805.12
  5. Step 5: Solve for x
    x = 234,212,805.12/17,276
  6. Step 6: Final answer
    x = 13,557.12

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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.