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Finding the Fourth Proportional to 13,123.56, 18,117.24 and 8,896.98

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Solution

The fourth proportional to 13,123.56, 18,117.24 and 8,896.98 is: 12,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.56 : 18,117.24 = 8,896.98 : x
  2. Step 2: Convert to fraction form
    13,123.56/18,117.24 = 8,896.98/x
  3. Step 3: Cross multiply
    13,123.56x = 18,117.24 × 8,896.98
  4. Step 4: Simplify right side
    13,123.56x = 161,188,721.94
  5. Step 5: Solve for x
    x = 161,188,721.94/13,123.56
  6. Step 6: Final answer
    x = 12,282.39

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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.