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Finding the Fourth Proportional to 24,586, 36,873.48 and 11,935.36

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Solution

The fourth proportional to 24,586, 36,873.48 and 11,935.36 is: 17,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,586 : 36,873.48 = 11,935.36 : x
  2. Step 2: Convert to fraction form
    24,586/36,873.48 = 11,935.36/x
  3. Step 3: Cross multiply
    24,586x = 36,873.48 × 11,935.36
  4. Step 4: Simplify right side
    24,586x = 440,098,258.25
  5. Step 5: Solve for x
    x = 440,098,258.25/24,586
  6. Step 6: Final answer
    x = 17,900.36

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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.