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Finding the Fourth Proportional to 24,137.92, 36,184.44 and 9,356.48

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Solution

The fourth proportional to 24,137.92, 36,184.44 and 9,356.48 is: 14,026.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,137.92 : 36,184.44 = 9,356.48 : x
  2. Step 2: Convert to fraction form
    24,137.92/36,184.44 = 9,356.48/x
  3. Step 3: Cross multiply
    24,137.92x = 36,184.44 × 9,356.48
  4. Step 4: Simplify right side
    24,137.92x = 338,558,989.17
  5. Step 5: Solve for x
    x = 338,558,989.17/24,137.92
  6. Step 6: Final answer
    x = 14,026.02

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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.