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Finding the Fourth Proportional to 24,646.98, 36,976.02 and 7,118.19

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Solution

The fourth proportional to 24,646.98, 36,976.02 and 7,118.19 is: 10,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,646.98 : 36,976.02 = 7,118.19 : x
  2. Step 2: Convert to fraction form
    24,646.98/36,976.02 = 7,118.19/x
  3. Step 3: Cross multiply
    24,646.98x = 36,976.02 × 7,118.19
  4. Step 4: Simplify right side
    24,646.98x = 263,202,335.80
  5. Step 5: Solve for x
    x = 263,202,335.80/24,646.98
  6. Step 6: Final answer
    x = 10,678.89

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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.