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Finding the Fourth Proportional to 24,188.25, 36,268.28 and 9,379.88

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Solution

The fourth proportional to 24,188.25, 36,268.28 and 9,379.88 is: 14,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.25 : 36,268.28 = 9,379.88 : x
  2. Step 2: Convert to fraction form
    24,188.25/36,268.28 = 9,379.88/x
  3. Step 3: Cross multiply
    24,188.25x = 36,268.28 × 9,379.88
  4. Step 4: Simplify right side
    24,188.25x = 340,191,885.97
  5. Step 5: Solve for x
    x = 340,191,885.97/24,188.25
  6. Step 6: Final answer
    x = 14,064.34

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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.