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Finding the Fourth Proportional to 16,564.67, 22,858.84 and 9,490.64

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Solution

The fourth proportional to 16,564.67, 22,858.84 and 9,490.64 is: 13,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.67 : 22,858.84 = 9,490.64 : x
  2. Step 2: Convert to fraction form
    16,564.67/22,858.84 = 9,490.64/x
  3. Step 3: Cross multiply
    16,564.67x = 22,858.84 × 9,490.64
  4. Step 4: Simplify right side
    16,564.67x = 216,945,047.41
  5. Step 5: Solve for x
    x = 216,945,047.41/16,564.67
  6. Step 6: Final answer
    x = 13,096.85

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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.