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Finding the Fourth Proportional to 24,829.71, 37,236.67 and 8,186.64

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Solution

The fourth proportional to 24,829.71, 37,236.67 and 8,186.64 is: 12,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.71 : 37,236.67 = 8,186.64 : x
  2. Step 2: Convert to fraction form
    24,829.71/37,236.67 = 8,186.64/x
  3. Step 3: Cross multiply
    24,829.71x = 37,236.67 × 8,186.64
  4. Step 4: Simplify right side
    24,829.71x = 304,843,171.16
  5. Step 5: Solve for x
    x = 304,843,171.16/24,829.71
  6. Step 6: Final answer
    x = 12,277.36

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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.