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Finding the Fourth Proportional to 38,197.32, 57,305.89 and 14,505.28

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Solution

The fourth proportional to 38,197.32, 57,305.89 and 14,505.28 is: 21,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.32 : 57,305.89 = 14,505.28 : x
  2. Step 2: Convert to fraction form
    38,197.32/57,305.89 = 14,505.28/x
  3. Step 3: Cross multiply
    38,197.32x = 57,305.89 × 14,505.28
  4. Step 4: Simplify right side
    38,197.32x = 831,237,875.36
  5. Step 5: Solve for x
    x = 831,237,875.36/38,197.32
  6. Step 6: Final answer
    x = 21,761.68

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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.