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Finding the Fourth Proportional to 17,832.18, 24,606 and 9,874.20

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Solution

The fourth proportional to 17,832.18, 24,606 and 9,874.20 is: 13,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.18 : 24,606 = 9,874.20 : x
  2. Step 2: Convert to fraction form
    17,832.18/24,606 = 9,874.20/x
  3. Step 3: Cross multiply
    17,832.18x = 24,606 × 9,874.20
  4. Step 4: Simplify right side
    17,832.18x = 242,964,565.20
  5. Step 5: Solve for x
    x = 242,964,565.20/17,832.18
  6. Step 6: Final answer
    x = 13,625.06

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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.