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Finding the Fourth Proportional to 15,175.30, 22,764.30 and 5,814.94

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Solution

The fourth proportional to 15,175.30, 22,764.30 and 5,814.94 is: 8,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.30 : 22,764.30 = 5,814.94 : x
  2. Step 2: Convert to fraction form
    15,175.30/22,764.30 = 5,814.94/x
  3. Step 3: Cross multiply
    15,175.30x = 22,764.30 × 5,814.94
  4. Step 4: Simplify right side
    15,175.30x = 132,373,038.64
  5. Step 5: Solve for x
    x = 132,373,038.64/15,175.30
  6. Step 6: Final answer
    x = 8,722.93

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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.