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Finding the Fourth Proportional to 17,822.10, 24,591.93 and 9,864.33

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Solution

The fourth proportional to 17,822.10, 24,591.93 and 9,864.33 is: 13,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.10 : 24,591.93 = 9,864.33 : x
  2. Step 2: Convert to fraction form
    17,822.10/24,591.93 = 9,864.33/x
  3. Step 3: Cross multiply
    17,822.10x = 24,591.93 × 9,864.33
  4. Step 4: Simplify right side
    17,822.10x = 242,582,912.86
  5. Step 5: Solve for x
    x = 242,582,912.86/17,822.10
  6. Step 6: Final answer
    x = 13,611.35

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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.