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Finding the Fourth Proportional to 38,724, 58,086.72 and 11,022.72

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Solution

The fourth proportional to 38,724, 58,086.72 and 11,022.72 is: 16,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,724 : 58,086.72 = 11,022.72 : x
  2. Step 2: Convert to fraction form
    38,724/58,086.72 = 11,022.72/x
  3. Step 3: Cross multiply
    38,724x = 58,086.72 × 11,022.72
  4. Step 4: Simplify right side
    38,724x = 640,273,650.28
  5. Step 5: Solve for x
    x = 640,273,650.28/38,724
  6. Step 6: Final answer
    x = 16,534.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.