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Finding the Fourth Proportional to 17,904.97, 24,708.97 and 9,838.54

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Solution

The fourth proportional to 17,904.97, 24,708.97 and 9,838.54 is: 13,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904.97 : 24,708.97 = 9,838.54 : x
  2. Step 2: Convert to fraction form
    17,904.97/24,708.97 = 9,838.54/x
  3. Step 3: Cross multiply
    17,904.97x = 24,708.97 × 9,838.54
  4. Step 4: Simplify right side
    17,904.97x = 243,100,191.07
  5. Step 5: Solve for x
    x = 243,100,191.07/17,904.97
  6. Step 6: Final answer
    x = 13,577.24

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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.