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Finding the Fourth Proportional to 24,207.76, 36,302.94 and 8,622.28

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Solution

The fourth proportional to 24,207.76, 36,302.94 and 8,622.28 is: 12,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.76 : 36,302.94 = 8,622.28 : x
  2. Step 2: Convert to fraction form
    24,207.76/36,302.94 = 8,622.28/x
  3. Step 3: Cross multiply
    24,207.76x = 36,302.94 × 8,622.28
  4. Step 4: Simplify right side
    24,207.76x = 313,014,113.50
  5. Step 5: Solve for x
    x = 313,014,113.50/24,207.76
  6. Step 6: Final answer
    x = 12,930.32

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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.