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Finding the Fourth Proportional to 22,512.36, 31,076.82 and 15,475.08

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Solution

The fourth proportional to 22,512.36, 31,076.82 and 15,475.08 is: 21,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512.36 : 31,076.82 = 15,475.08 : x
  2. Step 2: Convert to fraction form
    22,512.36/31,076.82 = 15,475.08/x
  3. Step 3: Cross multiply
    22,512.36x = 31,076.82 × 15,475.08
  4. Step 4: Simplify right side
    22,512.36x = 480,916,275.65
  5. Step 5: Solve for x
    x = 480,916,275.65/22,512.36
  6. Step 6: Final answer
    x = 21,362.32

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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.