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Finding the Fourth Proportional to 20,059.57, 27,683.32 and 11,106.88

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Solution

The fourth proportional to 20,059.57, 27,683.32 and 11,106.88 is: 15,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,059.57 : 27,683.32 = 11,106.88 : x
  2. Step 2: Convert to fraction form
    20,059.57/27,683.32 = 11,106.88/x
  3. Step 3: Cross multiply
    20,059.57x = 27,683.32 × 11,106.88
  4. Step 4: Simplify right side
    20,059.57x = 307,475,431.74
  5. Step 5: Solve for x
    x = 307,475,431.74/20,059.57
  6. Step 6: Final answer
    x = 15,328.11

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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.