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Finding the Fourth Proportional to 23,051.70, 34,560 and 10,575.27

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Solution

The fourth proportional to 23,051.70, 34,560 and 10,575.27 is: 15,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.70 : 34,560 = 10,575.27 : x
  2. Step 2: Convert to fraction form
    23,051.70/34,560 = 10,575.27/x
  3. Step 3: Cross multiply
    23,051.70x = 34,560 × 10,575.27
  4. Step 4: Simplify right side
    23,051.70x = 365,481,331.20
  5. Step 5: Solve for x
    x = 365,481,331.20/23,051.70
  6. Step 6: Final answer
    x = 15,854.85

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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.