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Finding the Fourth Proportional to 15,644.24, 21,585.81 and 8,932.05

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Solution

The fourth proportional to 15,644.24, 21,585.81 and 8,932.05 is: 12,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.24 : 21,585.81 = 8,932.05 : x
  2. Step 2: Convert to fraction form
    15,644.24/21,585.81 = 8,932.05/x
  3. Step 3: Cross multiply
    15,644.24x = 21,585.81 × 8,932.05
  4. Step 4: Simplify right side
    15,644.24x = 192,805,567.71
  5. Step 5: Solve for x
    x = 192,805,567.71/15,644.24
  6. Step 6: Final answer
    x = 12,324.38

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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.