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Finding the Fourth Proportional to 24,057.05, 36,085.82 and 7,416.95

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Solution

The fourth proportional to 24,057.05, 36,085.82 and 7,416.95 is: 11,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057.05 : 36,085.82 = 7,416.95 : x
  2. Step 2: Convert to fraction form
    24,057.05/36,085.82 = 7,416.95/x
  3. Step 3: Cross multiply
    24,057.05x = 36,085.82 × 7,416.95
  4. Step 4: Simplify right side
    24,057.05x = 267,646,505.14
  5. Step 5: Solve for x
    x = 267,646,505.14/24,057.05
  6. Step 6: Final answer
    x = 11,125.49

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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.