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Finding the Fourth Proportional to 15,932.38, 21,980.37 and 9,216.76

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Solution

The fourth proportional to 15,932.38, 21,980.37 and 9,216.76 is: 12,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,932.38 : 21,980.37 = 9,216.76 : x
  2. Step 2: Convert to fraction form
    15,932.38/21,980.37 = 9,216.76/x
  3. Step 3: Cross multiply
    15,932.38x = 21,980.37 × 9,216.76
  4. Step 4: Simplify right side
    15,932.38x = 202,587,795.00
  5. Step 5: Solve for x
    x = 202,587,795.00/15,932.38
  6. Step 6: Final answer
    x = 12,715.48

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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.