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Finding the Fourth Proportional to 24,684.34, 37,018.83 and 8,264.50

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Solution

The fourth proportional to 24,684.34, 37,018.83 and 8,264.50 is: 12,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,684.34 : 37,018.83 = 8,264.50 : x
  2. Step 2: Convert to fraction form
    24,684.34/37,018.83 = 8,264.50/x
  3. Step 3: Cross multiply
    24,684.34x = 37,018.83 × 8,264.50
  4. Step 4: Simplify right side
    24,684.34x = 305,942,120.54
  5. Step 5: Solve for x
    x = 305,942,120.54/24,684.34
  6. Step 6: Final answer
    x = 12,394.18

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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.