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Finding the Fourth Proportional to 24,672.82, 37,009.14 and 7,142.62

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Solution

The fourth proportional to 24,672.82, 37,009.14 and 7,142.62 is: 10,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672.82 : 37,009.14 = 7,142.62 : x
  2. Step 2: Convert to fraction form
    24,672.82/37,009.14 = 7,142.62/x
  3. Step 3: Cross multiply
    24,672.82x = 37,009.14 × 7,142.62
  4. Step 4: Simplify right side
    24,672.82x = 264,342,223.55
  5. Step 5: Solve for x
    x = 264,342,223.55/24,672.82
  6. Step 6: Final answer
    x = 10,713.90

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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.