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Finding the Fourth Proportional to 17,825.56, 24,600.18 and 9,868.66

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Solution

The fourth proportional to 17,825.56, 24,600.18 and 9,868.66 is: 13,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.56 : 24,600.18 = 9,868.66 : x
  2. Step 2: Convert to fraction form
    17,825.56/24,600.18 = 9,868.66/x
  3. Step 3: Cross multiply
    17,825.56x = 24,600.18 × 9,868.66
  4. Step 4: Simplify right side
    17,825.56x = 242,770,812.36
  5. Step 5: Solve for x
    x = 242,770,812.36/17,825.56
  6. Step 6: Final answer
    x = 13,619.25

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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.