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Finding the Fourth Proportional to 15,983.46, 22,056.72 and 9,177.28

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Solution

The fourth proportional to 15,983.46, 22,056.72 and 9,177.28 is: 12,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.46 : 22,056.72 = 9,177.28 : x
  2. Step 2: Convert to fraction form
    15,983.46/22,056.72 = 9,177.28/x
  3. Step 3: Cross multiply
    15,983.46x = 22,056.72 × 9,177.28
  4. Step 4: Simplify right side
    15,983.46x = 202,420,695.32
  5. Step 5: Solve for x
    x = 202,420,695.32/15,983.46
  6. Step 6: Final answer
    x = 12,664.39

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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.