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Finding the Fourth Proportional to 11,657.34, 17,490.80 and 8,553.18

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Solution

The fourth proportional to 11,657.34, 17,490.80 and 8,553.18 is: 12,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.34 : 17,490.80 = 8,553.18 : x
  2. Step 2: Convert to fraction form
    11,657.34/17,490.80 = 8,553.18/x
  3. Step 3: Cross multiply
    11,657.34x = 17,490.80 × 8,553.18
  4. Step 4: Simplify right side
    11,657.34x = 149,601,960.74
  5. Step 5: Solve for x
    x = 149,601,960.74/11,657.34
  6. Step 6: Final answer
    x = 12,833.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.