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Finding the Fourth Proportional to 20,597.50, 28,424.62 and 11,166.10

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Solution

The fourth proportional to 20,597.50, 28,424.62 and 11,166.10 is: 15,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.50 : 28,424.62 = 11,166.10 : x
  2. Step 2: Convert to fraction form
    20,597.50/28,424.62 = 11,166.10/x
  3. Step 3: Cross multiply
    20,597.50x = 28,424.62 × 11,166.10
  4. Step 4: Simplify right side
    20,597.50x = 317,392,149.38
  5. Step 5: Solve for x
    x = 317,392,149.38/20,597.50
  6. Step 6: Final answer
    x = 15,409.26

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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.