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Finding the Fourth Proportional to 24,194.69, 36,277.90 and 9,386.30

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Solution

The fourth proportional to 24,194.69, 36,277.90 and 9,386.30 is: 14,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.69 : 36,277.90 = 9,386.30 : x
  2. Step 2: Convert to fraction form
    24,194.69/36,277.90 = 9,386.30/x
  3. Step 3: Cross multiply
    24,194.69x = 36,277.90 × 9,386.30
  4. Step 4: Simplify right side
    24,194.69x = 340,515,047.91
  5. Step 5: Solve for x
    x = 340,515,047.91/24,194.69
  6. Step 6: Final answer
    x = 14,073.96

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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.