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Finding the Fourth Proportional to 20,525.34, 28,320.93 and 12,142.38

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Solution

The fourth proportional to 20,525.34, 28,320.93 and 12,142.38 is: 16,754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,525.34 : 28,320.93 = 12,142.38 : x
  2. Step 2: Convert to fraction form
    20,525.34/28,320.93 = 12,142.38/x
  3. Step 3: Cross multiply
    20,525.34x = 28,320.93 × 12,142.38
  4. Step 4: Simplify right side
    20,525.34x = 343,883,494.01
  5. Step 5: Solve for x
    x = 343,883,494.01/20,525.34
  6. Step 6: Final answer
    x = 16,754.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.