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Finding the Fourth Proportional to 24,513, 36,775.64 and 6,982.83

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Solution

The fourth proportional to 24,513, 36,775.64 and 6,982.83 is: 10,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513 : 36,775.64 = 6,982.83 : x
  2. Step 2: Convert to fraction form
    24,513/36,775.64 = 6,982.83/x
  3. Step 3: Cross multiply
    24,513x = 36,775.64 × 6,982.83
  4. Step 4: Simplify right side
    24,513x = 256,798,007.35
  5. Step 5: Solve for x
    x = 256,798,007.35/24,513
  6. Step 6: Final answer
    x = 10,475.99

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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.