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Finding the Fourth Proportional to 11,490.16, 17,157.41 and 9,123.61

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Solution

The fourth proportional to 11,490.16, 17,157.41 and 9,123.61 is: 13,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.16 : 17,157.41 = 9,123.61 : x
  2. Step 2: Convert to fraction form
    11,490.16/17,157.41 = 9,123.61/x
  3. Step 3: Cross multiply
    11,490.16x = 17,157.41 × 9,123.61
  4. Step 4: Simplify right side
    11,490.16x = 156,537,517.45
  5. Step 5: Solve for x
    x = 156,537,517.45/11,490.16
  6. Step 6: Final answer
    x = 13,623.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.