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Finding the Fourth Proportional to 24,673.38, 37,008.99 and 7,142.82

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Solution

The fourth proportional to 24,673.38, 37,008.99 and 7,142.82 is: 10,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,673.38 : 37,008.99 = 7,142.82 : x
  2. Step 2: Convert to fraction form
    24,673.38/37,008.99 = 7,142.82/x
  3. Step 3: Cross multiply
    24,673.38x = 37,008.99 × 7,142.82
  4. Step 4: Simplify right side
    24,673.38x = 264,348,553.95
  5. Step 5: Solve for x
    x = 264,348,553.95/24,673.38
  6. Step 6: Final answer
    x = 10,713.92

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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.