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Finding the Fourth Proportional to 23,807.98, 32,855.97 and 13,196.89

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Solution

The fourth proportional to 23,807.98, 32,855.97 and 13,196.89 is: 18,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.98 : 32,855.97 = 13,196.89 : x
  2. Step 2: Convert to fraction form
    23,807.98/32,855.97 = 13,196.89/x
  3. Step 3: Cross multiply
    23,807.98x = 32,855.97 × 13,196.89
  4. Step 4: Simplify right side
    23,807.98x = 433,596,621.93
  5. Step 5: Solve for x
    x = 433,596,621.93/23,807.98
  6. Step 6: Final answer
    x = 18,212.24

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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.