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Finding the Fourth Proportional to 16,563.91, 22,858.80 and 9,491.70

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Solution

The fourth proportional to 16,563.91, 22,858.80 and 9,491.70 is: 13,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.91 : 22,858.80 = 9,491.70 : x
  2. Step 2: Convert to fraction form
    16,563.91/22,858.80 = 9,491.70/x
  3. Step 3: Cross multiply
    16,563.91x = 22,858.80 × 9,491.70
  4. Step 4: Simplify right side
    16,563.91x = 216,968,793.51
  5. Step 5: Solve for x
    x = 216,968,793.51/16,563.91
  6. Step 6: Final answer
    x = 13,098.89

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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.