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Finding the Fourth Proportional to 16,549.45, 22,834.62 and 9,837.31

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Solution

The fourth proportional to 16,549.45, 22,834.62 and 9,837.31 is: 13,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.45 : 22,834.62 = 9,837.31 : x
  2. Step 2: Convert to fraction form
    16,549.45/22,834.62 = 9,837.31/x
  3. Step 3: Cross multiply
    16,549.45x = 22,834.62 × 9,837.31
  4. Step 4: Simplify right side
    16,549.45x = 224,631,235.67
  5. Step 5: Solve for x
    x = 224,631,235.67/16,549.45
  6. Step 6: Final answer
    x = 13,573.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.