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Finding the Fourth Proportional to 23,234.50, 32,063.76 and 12,624.14

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Solution

The fourth proportional to 23,234.50, 32,063.76 and 12,624.14 is: 17,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.50 : 32,063.76 = 12,624.14 : x
  2. Step 2: Convert to fraction form
    23,234.50/32,063.76 = 12,624.14/x
  3. Step 3: Cross multiply
    23,234.50x = 32,063.76 × 12,624.14
  4. Step 4: Simplify right side
    23,234.50x = 404,777,395.17
  5. Step 5: Solve for x
    x = 404,777,395.17/23,234.50
  6. Step 6: Final answer
    x = 17,421.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.