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Finding the Fourth Proportional to 20,569, 28,385 and 11,616.34

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Solution

The fourth proportional to 20,569, 28,385 and 11,616.34 is: 16,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569 : 28,385 = 11,616.34 : x
  2. Step 2: Convert to fraction form
    20,569/28,385 = 11,616.34/x
  3. Step 3: Cross multiply
    20,569x = 28,385 × 11,616.34
  4. Step 4: Simplify right side
    20,569x = 329,729,810.90
  5. Step 5: Solve for x
    x = 329,729,810.90/20,569
  6. Step 6: Final answer
    x = 16,030.42

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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.