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Finding the Fourth Proportional to 17,766.16, 24,516.97 and 9,808.21

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Solution

The fourth proportional to 17,766.16, 24,516.97 and 9,808.21 is: 13,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.16 : 24,516.97 = 9,808.21 : x
  2. Step 2: Convert to fraction form
    17,766.16/24,516.97 = 9,808.21/x
  3. Step 3: Cross multiply
    17,766.16x = 24,516.97 × 9,808.21
  4. Step 4: Simplify right side
    17,766.16x = 240,467,590.32
  5. Step 5: Solve for x
    x = 240,467,590.32/17,766.16
  6. Step 6: Final answer
    x = 13,535.15

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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.