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Finding the Fourth Proportional to 38,283.84, 57,437.28 and 11,991.36

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Solution

The fourth proportional to 38,283.84, 57,437.28 and 11,991.36 is: 17,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,283.84 : 57,437.28 = 11,991.36 : x
  2. Step 2: Convert to fraction form
    38,283.84/57,437.28 = 11,991.36/x
  3. Step 3: Cross multiply
    38,283.84x = 57,437.28 × 11,991.36
  4. Step 4: Simplify right side
    38,283.84x = 688,751,101.90
  5. Step 5: Solve for x
    x = 688,751,101.90/38,283.84
  6. Step 6: Final answer
    x = 17,990.65

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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.