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Finding the Fourth Proportional to 24,094.25, 36,137.02 and 6,559.98

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Solution

The fourth proportional to 24,094.25, 36,137.02 and 6,559.98 is: 9,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,094.25 : 36,137.02 = 6,559.98 : x
  2. Step 2: Convert to fraction form
    24,094.25/36,137.02 = 6,559.98/x
  3. Step 3: Cross multiply
    24,094.25x = 36,137.02 × 6,559.98
  4. Step 4: Simplify right side
    24,094.25x = 237,057,988.85
  5. Step 5: Solve for x
    x = 237,057,988.85/24,094.25
  6. Step 6: Final answer
    x = 9,838.78

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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.