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Finding the Fourth Proportional to 17,899.96, 24,702 and 9,942.22

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Solution

The fourth proportional to 17,899.96, 24,702 and 9,942.22 is: 13,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,899.96 : 24,702 = 9,942.22 : x
  2. Step 2: Convert to fraction form
    17,899.96/24,702 = 9,942.22/x
  3. Step 3: Cross multiply
    17,899.96x = 24,702 × 9,942.22
  4. Step 4: Simplify right side
    17,899.96x = 245,592,718.44
  5. Step 5: Solve for x
    x = 245,592,718.44/17,899.96
  6. Step 6: Final answer
    x = 13,720.29

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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.