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Finding the Fourth Proportional to 15,382.54, 21,223.51 and 8,665.83

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Solution

The fourth proportional to 15,382.54, 21,223.51 and 8,665.83 is: 11,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.54 : 21,223.51 = 8,665.83 : x
  2. Step 2: Convert to fraction form
    15,382.54/21,223.51 = 8,665.83/x
  3. Step 3: Cross multiply
    15,382.54x = 21,223.51 × 8,665.83
  4. Step 4: Simplify right side
    15,382.54x = 183,919,329.66
  5. Step 5: Solve for x
    x = 183,919,329.66/15,382.54
  6. Step 6: Final answer
    x = 11,956.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.