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Finding the Fourth Proportional to 29,202.76, 40,299.76 and 15,774

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Solution

The fourth proportional to 29,202.76, 40,299.76 and 15,774 is: 21,768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,202.76 : 40,299.76 = 15,774 : x
  2. Step 2: Convert to fraction form
    29,202.76/40,299.76 = 15,774/x
  3. Step 3: Cross multiply
    29,202.76x = 40,299.76 × 15,774
  4. Step 4: Simplify right side
    29,202.76x = 635,688,414.24
  5. Step 5: Solve for x
    x = 635,688,414.24/29,202.76
  6. Step 6: Final answer
    x = 21,768.09

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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.