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Finding the Fourth Proportional to 23,762, 32,791.56 and 13,826

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Solution

The fourth proportional to 23,762, 32,791.56 and 13,826 is: 19,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762 : 32,791.56 = 13,826 : x
  2. Step 2: Convert to fraction form
    23,762/32,791.56 = 13,826/x
  3. Step 3: Cross multiply
    23,762x = 32,791.56 × 13,826
  4. Step 4: Simplify right side
    23,762x = 453,376,108.56
  5. Step 5: Solve for x
    x = 453,376,108.56/23,762
  6. Step 6: Final answer
    x = 19,079.88

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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.