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Finding the Fourth Proportional to 23,205.44, 32,031.82 and 13,774

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Solution

The fourth proportional to 23,205.44, 32,031.82 and 13,774 is: 19,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.44 : 32,031.82 = 13,774 : x
  2. Step 2: Convert to fraction form
    23,205.44/32,031.82 = 13,774/x
  3. Step 3: Cross multiply
    23,205.44x = 32,031.82 × 13,774
  4. Step 4: Simplify right side
    23,205.44x = 441,206,288.68
  5. Step 5: Solve for x
    x = 441,206,288.68/23,205.44
  6. Step 6: Final answer
    x = 19,013.05

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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.