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Finding the Fourth Proportional to 24,969.24, 37,442.64 and 9,375.84

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Solution

The fourth proportional to 24,969.24, 37,442.64 and 9,375.84 is: 14,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,969.24 : 37,442.64 = 9,375.84 : x
  2. Step 2: Convert to fraction form
    24,969.24/37,442.64 = 9,375.84/x
  3. Step 3: Cross multiply
    24,969.24x = 37,442.64 × 9,375.84
  4. Step 4: Simplify right side
    24,969.24x = 351,056,201.82
  5. Step 5: Solve for x
    x = 351,056,201.82/24,969.24
  6. Step 6: Final answer
    x = 14,059.55

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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.