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Finding the Fourth Proportional to 24,360.34, 36,518.58 and 8,767

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Solution

The fourth proportional to 24,360.34, 36,518.58 and 8,767 is: 13,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,360.34 : 36,518.58 = 8,767 : x
  2. Step 2: Convert to fraction form
    24,360.34/36,518.58 = 8,767/x
  3. Step 3: Cross multiply
    24,360.34x = 36,518.58 × 8,767
  4. Step 4: Simplify right side
    24,360.34x = 320,158,390.86
  5. Step 5: Solve for x
    x = 320,158,390.86/24,360.34
  6. Step 6: Final answer
    x = 13,142.61

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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.