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Finding the Fourth Proportional to 23,134.24, 34,704 and 7,551.88

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Solution

The fourth proportional to 23,134.24, 34,704 and 7,551.88 is: 11,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.24 : 34,704 = 7,551.88 : x
  2. Step 2: Convert to fraction form
    23,134.24/34,704 = 7,551.88/x
  3. Step 3: Cross multiply
    23,134.24x = 34,704 × 7,551.88
  4. Step 4: Simplify right side
    23,134.24x = 262,080,443.52
  5. Step 5: Solve for x
    x = 262,080,443.52/23,134.24
  6. Step 6: Final answer
    x = 11,328.68

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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.