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Finding the Fourth Proportional to 24,816, 37,203.08 and 10,765.45

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Solution

The fourth proportional to 24,816, 37,203.08 and 10,765.45 is: 16,139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,816 : 37,203.08 = 10,765.45 : x
  2. Step 2: Convert to fraction form
    24,816/37,203.08 = 10,765.45/x
  3. Step 3: Cross multiply
    24,816x = 37,203.08 × 10,765.45
  4. Step 4: Simplify right side
    24,816x = 400,507,711.57
  5. Step 5: Solve for x
    x = 400,507,711.57/24,816
  6. Step 6: Final answer
    x = 16,139.09

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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.