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Finding the Fourth Proportional to 17,989.70, 24,825.84 and 9,923.16

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Solution

The fourth proportional to 17,989.70, 24,825.84 and 9,923.16 is: 13,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,989.70 : 24,825.84 = 9,923.16 : x
  2. Step 2: Convert to fraction form
    17,989.70/24,825.84 = 9,923.16/x
  3. Step 3: Cross multiply
    17,989.70x = 24,825.84 × 9,923.16
  4. Step 4: Simplify right side
    17,989.70x = 246,350,782.45
  5. Step 5: Solve for x
    x = 246,350,782.45/17,989.70
  6. Step 6: Final answer
    x = 13,693.99

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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.