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Finding the Fourth Proportional to 17,808.75, 24,576.24 and 9,742.25

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Solution

The fourth proportional to 17,808.75, 24,576.24 and 9,742.25 is: 13,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,808.75 : 24,576.24 = 9,742.25 : x
  2. Step 2: Convert to fraction form
    17,808.75/24,576.24 = 9,742.25/x
  3. Step 3: Cross multiply
    17,808.75x = 24,576.24 × 9,742.25
  4. Step 4: Simplify right side
    17,808.75x = 239,427,874.14
  5. Step 5: Solve for x
    x = 239,427,874.14/17,808.75
  6. Step 6: Final answer
    x = 13,444.40

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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.