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Finding the Fourth Proportional to 15,227.64, 22,822.32 and 6,905.16

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Solution

The fourth proportional to 15,227.64, 22,822.32 and 6,905.16 is: 10,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227.64 : 22,822.32 = 6,905.16 : x
  2. Step 2: Convert to fraction form
    15,227.64/22,822.32 = 6,905.16/x
  3. Step 3: Cross multiply
    15,227.64x = 22,822.32 × 6,905.16
  4. Step 4: Simplify right side
    15,227.64x = 157,591,771.17
  5. Step 5: Solve for x
    x = 157,591,771.17/15,227.64
  6. Step 6: Final answer
    x = 10,349.06

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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.