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Finding the Fourth Proportional to 24,884.26, 37,326.38 and 7,352.72

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Solution

The fourth proportional to 24,884.26, 37,326.38 and 7,352.72 is: 11,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,884.26 : 37,326.38 = 7,352.72 : x
  2. Step 2: Convert to fraction form
    24,884.26/37,326.38 = 7,352.72/x
  3. Step 3: Cross multiply
    24,884.26x = 37,326.38 × 7,352.72
  4. Step 4: Simplify right side
    24,884.26x = 274,450,252.50
  5. Step 5: Solve for x
    x = 274,450,252.50/24,884.26
  6. Step 6: Final answer
    x = 11,029.07

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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.