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Finding the Fourth Proportional to 17,859.97, 24,646.64 and 9,902.19

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Solution

The fourth proportional to 17,859.97, 24,646.64 and 9,902.19 is: 13,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,859.97 : 24,646.64 = 9,902.19 : x
  2. Step 2: Convert to fraction form
    17,859.97/24,646.64 = 9,902.19/x
  3. Step 3: Cross multiply
    17,859.97x = 24,646.64 × 9,902.19
  4. Step 4: Simplify right side
    17,859.97x = 244,055,712.14
  5. Step 5: Solve for x
    x = 244,055,712.14/17,859.97
  6. Step 6: Final answer
    x = 13,664.96

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1.5x scale

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.