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Finding the Fourth Proportional to 23,778.01, 32,814.64 and 13,167.65

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Solution

The fourth proportional to 23,778.01, 32,814.64 and 13,167.65 is: 18,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.01 : 32,814.64 = 13,167.65 : x
  2. Step 2: Convert to fraction form
    23,778.01/32,814.64 = 13,167.65/x
  3. Step 3: Cross multiply
    23,778.01x = 32,814.64 × 13,167.65
  4. Step 4: Simplify right side
    23,778.01x = 432,091,534.24
  5. Step 5: Solve for x
    x = 432,091,534.24/23,778.01
  6. Step 6: Final answer
    x = 18,171.90

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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.