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Finding the Fourth Proportional to 17,001.78, 23,454.24 and 9,924

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Solution

The fourth proportional to 17,001.78, 23,454.24 and 9,924 is: 13,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,001.78 : 23,454.24 = 9,924 : x
  2. Step 2: Convert to fraction form
    17,001.78/23,454.24 = 9,924/x
  3. Step 3: Cross multiply
    17,001.78x = 23,454.24 × 9,924
  4. Step 4: Simplify right side
    17,001.78x = 232,759,877.76
  5. Step 5: Solve for x
    x = 232,759,877.76/17,001.78
  6. Step 6: Final answer
    x = 13,690.32

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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.