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Finding the Fourth Proportional to 27,097.12, 40,658.64 and 9,575.20

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Solution

The fourth proportional to 27,097.12, 40,658.64 and 9,575.20 is: 14,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.12 : 40,658.64 = 9,575.20 : x
  2. Step 2: Convert to fraction form
    27,097.12/40,658.64 = 9,575.20/x
  3. Step 3: Cross multiply
    27,097.12x = 40,658.64 × 9,575.20
  4. Step 4: Simplify right side
    27,097.12x = 389,314,609.73
  5. Step 5: Solve for x
    x = 389,314,609.73/27,097.12
  6. Step 6: Final answer
    x = 14,367.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.