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Finding the Fourth Proportional to 17,766.58, 24,517.54 and 9,808.64

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Solution

The fourth proportional to 17,766.58, 24,517.54 and 9,808.64 is: 13,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766.58 : 24,517.54 = 9,808.64 : x
  2. Step 2: Convert to fraction form
    17,766.58/24,517.54 = 9,808.64/x
  3. Step 3: Cross multiply
    17,766.58x = 24,517.54 × 9,808.64
  4. Step 4: Simplify right side
    17,766.58x = 240,483,723.55
  5. Step 5: Solve for x
    x = 240,483,723.55/17,766.58
  6. Step 6: Final answer
    x = 13,535.74

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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.