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Finding the Fourth Proportional to 16,553.61, 22,844.16 and 9,481.50

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Solution

The fourth proportional to 16,553.61, 22,844.16 and 9,481.50 is: 13,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.61 : 22,844.16 = 9,481.50 : x
  2. Step 2: Convert to fraction form
    16,553.61/22,844.16 = 9,481.50/x
  3. Step 3: Cross multiply
    16,553.61x = 22,844.16 × 9,481.50
  4. Step 4: Simplify right side
    16,553.61x = 216,596,903.04
  5. Step 5: Solve for x
    x = 216,596,903.04/16,553.61
  6. Step 6: Final answer
    x = 13,084.57

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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.