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Finding the Fourth Proportional to 24,863.61, 37,295.43 and 7,094.64

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Solution

The fourth proportional to 24,863.61, 37,295.43 and 7,094.64 is: 10,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,863.61 : 37,295.43 = 7,094.64 : x
  2. Step 2: Convert to fraction form
    24,863.61/37,295.43 = 7,094.64/x
  3. Step 3: Cross multiply
    24,863.61x = 37,295.43 × 7,094.64
  4. Step 4: Simplify right side
    24,863.61x = 264,597,649.50
  5. Step 5: Solve for x
    x = 264,597,649.50/24,863.61
  6. Step 6: Final answer
    x = 10,641.96

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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.