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Finding the Fourth Proportional to 24,211.34, 36,327.97 and 12,359.00

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Solution

The fourth proportional to 24,211.34, 36,327.97 and 12,359.00 is: 18,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,211.34 : 36,327.97 = 12,359.00 : x
  2. Step 2: Convert to fraction form
    24,211.34/36,327.97 = 12,359.00/x
  3. Step 3: Cross multiply
    24,211.34x = 36,327.97 × 12,359.00
  4. Step 4: Simplify right side
    24,211.34x = 448,977,487.50
  5. Step 5: Solve for x
    x = 448,977,487.50/24,211.34
  6. Step 6: Final answer
    x = 18,544.10

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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.