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Finding the Fourth Proportional to 16,564.01, 22,861.46 and 9,490.41

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Solution

The fourth proportional to 16,564.01, 22,861.46 and 9,490.41 is: 13,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.01 : 22,861.46 = 9,490.41 : x
  2. Step 2: Convert to fraction form
    16,564.01/22,861.46 = 9,490.41/x
  3. Step 3: Cross multiply
    16,564.01x = 22,861.46 × 9,490.41
  4. Step 4: Simplify right side
    16,564.01x = 216,964,581.15
  5. Step 5: Solve for x
    x = 216,964,581.15/16,564.01
  6. Step 6: Final answer
    x = 13,098.56

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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.