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Finding the Fourth Proportional to 24,009.50, 36,027.30 and 11,697.50

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Solution

The fourth proportional to 24,009.50, 36,027.30 and 11,697.50 is: 17,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.50 : 36,027.30 = 11,697.50 : x
  2. Step 2: Convert to fraction form
    24,009.50/36,027.30 = 11,697.50/x
  3. Step 3: Cross multiply
    24,009.50x = 36,027.30 × 11,697.50
  4. Step 4: Simplify right side
    24,009.50x = 421,429,341.75
  5. Step 5: Solve for x
    x = 421,429,341.75/24,009.50
  6. Step 6: Final answer
    x = 17,552.61

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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.