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Finding the Fourth Proportional to 17,540.76, 24,206.16 and 9,583.44

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Solution

The fourth proportional to 17,540.76, 24,206.16 and 9,583.44 is: 13,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.76 : 24,206.16 = 9,583.44 : x
  2. Step 2: Convert to fraction form
    17,540.76/24,206.16 = 9,583.44/x
  3. Step 3: Cross multiply
    17,540.76x = 24,206.16 × 9,583.44
  4. Step 4: Simplify right side
    17,540.76x = 231,978,281.99
  5. Step 5: Solve for x
    x = 231,978,281.99/17,540.76
  6. Step 6: Final answer
    x = 13,225.10

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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.