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Finding the Fourth Proportional to 20,861.16, 28,788.76 and 11,429.12

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Solution

The fourth proportional to 20,861.16, 28,788.76 and 11,429.12 is: 15,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.16 : 28,788.76 = 11,429.12 : x
  2. Step 2: Convert to fraction form
    20,861.16/28,788.76 = 11,429.12/x
  3. Step 3: Cross multiply
    20,861.16x = 28,788.76 × 11,429.12
  4. Step 4: Simplify right side
    20,861.16x = 329,030,192.69
  5. Step 5: Solve for x
    x = 329,030,192.69/20,861.16
  6. Step 6: Final answer
    x = 15,772.38

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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.