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Finding the Fourth Proportional to 22,843.56, 34,256.70 and 8,985

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Solution

The fourth proportional to 22,843.56, 34,256.70 and 8,985 is: 13,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.56 : 34,256.70 = 8,985 : x
  2. Step 2: Convert to fraction form
    22,843.56/34,256.70 = 8,985/x
  3. Step 3: Cross multiply
    22,843.56x = 34,256.70 × 8,985
  4. Step 4: Simplify right side
    22,843.56x = 307,796,449.50
  5. Step 5: Solve for x
    x = 307,796,449.50/22,843.56
  6. Step 6: Final answer
    x = 13,474.10

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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.