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Finding the Fourth Proportional to 23,750.82, 32,774.83 and 13,139.82

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Solution

The fourth proportional to 23,750.82, 32,774.83 and 13,139.82 is: 18,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,750.82 : 32,774.83 = 13,139.82 : x
  2. Step 2: Convert to fraction form
    23,750.82/32,774.83 = 13,139.82/x
  3. Step 3: Cross multiply
    23,750.82x = 32,774.83 × 13,139.82
  4. Step 4: Simplify right side
    23,750.82x = 430,655,333.88
  5. Step 5: Solve for x
    x = 430,655,333.88/23,750.82
  6. Step 6: Final answer
    x = 18,132.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.