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Finding the Fourth Proportional to 23,615.82, 35,424.72 and 8,823.24

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Solution

The fourth proportional to 23,615.82, 35,424.72 and 8,823.24 is: 13,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.82 : 35,424.72 = 8,823.24 : x
  2. Step 2: Convert to fraction form
    23,615.82/35,424.72 = 8,823.24/x
  3. Step 3: Cross multiply
    23,615.82x = 35,424.72 × 8,823.24
  4. Step 4: Simplify right side
    23,615.82x = 312,560,806.49
  5. Step 5: Solve for x
    x = 312,560,806.49/23,615.82
  6. Step 6: Final answer
    x = 13,235.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.