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Finding the Fourth Proportional to 12,814, 19,223.32 and 5,797.32

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Solution

The fourth proportional to 12,814, 19,223.32 and 5,797.32 is: 8,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814 : 19,223.32 = 5,797.32 : x
  2. Step 2: Convert to fraction form
    12,814/19,223.32 = 5,797.32/x
  3. Step 3: Cross multiply
    12,814x = 19,223.32 × 5,797.32
  4. Step 4: Simplify right side
    12,814x = 111,443,737.50
  5. Step 5: Solve for x
    x = 111,443,737.50/12,814
  6. Step 6: Final answer
    x = 8,697.03

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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.