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Finding the Fourth Proportional to 24,209.89, 36,314.84 and 6,681.09

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Solution

The fourth proportional to 24,209.89, 36,314.84 and 6,681.09 is: 10,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.89 : 36,314.84 = 6,681.09 : x
  2. Step 2: Convert to fraction form
    24,209.89/36,314.84 = 6,681.09/x
  3. Step 3: Cross multiply
    24,209.89x = 36,314.84 × 6,681.09
  4. Step 4: Simplify right side
    24,209.89x = 242,622,714.38
  5. Step 5: Solve for x
    x = 242,622,714.38/24,209.89
  6. Step 6: Final answer
    x = 10,021.64

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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.