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Finding the Fourth Proportional to 23,807.25, 32,854.01 and 13,198.50

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Solution

The fourth proportional to 23,807.25, 32,854.01 and 13,198.50 is: 18,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.25 : 32,854.01 = 13,198.50 : x
  2. Step 2: Convert to fraction form
    23,807.25/32,854.01 = 13,198.50/x
  3. Step 3: Cross multiply
    23,807.25x = 32,854.01 × 13,198.50
  4. Step 4: Simplify right side
    23,807.25x = 433,623,584.99
  5. Step 5: Solve for x
    x = 433,623,584.99/23,807.25
  6. Step 6: Final answer
    x = 18,213.93

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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.