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Finding the Fourth Proportional to 24,388.68, 36,583.02 and 6,858.51

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Solution

The fourth proportional to 24,388.68, 36,583.02 and 6,858.51 is: 10,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,388.68 : 36,583.02 = 6,858.51 : x
  2. Step 2: Convert to fraction form
    24,388.68/36,583.02 = 6,858.51/x
  3. Step 3: Cross multiply
    24,388.68x = 36,583.02 × 6,858.51
  4. Step 4: Simplify right side
    24,388.68x = 250,905,034.22
  5. Step 5: Solve for x
    x = 250,905,034.22/24,388.68
  6. Step 6: Final answer
    x = 10,287.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.