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Finding the Fourth Proportional to 24,605.20, 36,889.92 and 9,809.68

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Solution

The fourth proportional to 24,605.20, 36,889.92 and 9,809.68 is: 14,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.20 : 36,889.92 = 9,809.68 : x
  2. Step 2: Convert to fraction form
    24,605.20/36,889.92 = 9,809.68/x
  3. Step 3: Cross multiply
    24,605.20x = 36,889.92 × 9,809.68
  4. Step 4: Simplify right side
    24,605.20x = 361,878,181.41
  5. Step 5: Solve for x
    x = 361,878,181.41/24,605.20
  6. Step 6: Final answer
    x = 14,707.39

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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.