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Finding the Fourth Proportional to 23,931, 33,024.78 and 13,995

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Solution

The fourth proportional to 23,931, 33,024.78 and 13,995 is: 19,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,931 : 33,024.78 = 13,995 : x
  2. Step 2: Convert to fraction form
    23,931/33,024.78 = 13,995/x
  3. Step 3: Cross multiply
    23,931x = 33,024.78 × 13,995
  4. Step 4: Simplify right side
    23,931x = 462,181,796.10
  5. Step 5: Solve for x
    x = 462,181,796.10/23,931
  6. Step 6: Final answer
    x = 19,313.10

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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.