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Finding the Fourth Proportional to 24,464.70, 36,697.05 and 11,342.70

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Solution

The fourth proportional to 24,464.70, 36,697.05 and 11,342.70 is: 17,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.70 : 36,697.05 = 11,342.70 : x
  2. Step 2: Convert to fraction form
    24,464.70/36,697.05 = 11,342.70/x
  3. Step 3: Cross multiply
    24,464.70x = 36,697.05 × 11,342.70
  4. Step 4: Simplify right side
    24,464.70x = 416,243,629.04
  5. Step 5: Solve for x
    x = 416,243,629.04/24,464.70
  6. Step 6: Final answer
    x = 17,014.05

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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.