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Finding the Fourth Proportional to 38,224.69, 57,314.32 and 14,533.97

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Solution

The fourth proportional to 38,224.69, 57,314.32 and 14,533.97 is: 21,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,224.69 : 57,314.32 = 14,533.97 : x
  2. Step 2: Convert to fraction form
    38,224.69/57,314.32 = 14,533.97/x
  3. Step 3: Cross multiply
    38,224.69x = 57,314.32 × 14,533.97
  4. Step 4: Simplify right side
    38,224.69x = 833,004,248.21
  5. Step 5: Solve for x
    x = 833,004,248.21/38,224.69
  6. Step 6: Final answer
    x = 21,792.31

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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.