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Finding the Fourth Proportional to 23,834.88, 32,896.80 and 13,769.82

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Solution

The fourth proportional to 23,834.88, 32,896.80 and 13,769.82 is: 19,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.88 : 32,896.80 = 13,769.82 : x
  2. Step 2: Convert to fraction form
    23,834.88/32,896.80 = 13,769.82/x
  3. Step 3: Cross multiply
    23,834.88x = 32,896.80 × 13,769.82
  4. Step 4: Simplify right side
    23,834.88x = 452,983,014.58
  5. Step 5: Solve for x
    x = 452,983,014.58/23,834.88
  6. Step 6: Final answer
    x = 19,005.05

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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.