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Finding the Fourth Proportional to 16,179, 22,327.56 and 9,890.16

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Solution

The fourth proportional to 16,179, 22,327.56 and 9,890.16 is: 13,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179 : 22,327.56 = 9,890.16 : x
  2. Step 2: Convert to fraction form
    16,179/22,327.56 = 9,890.16/x
  3. Step 3: Cross multiply
    16,179x = 22,327.56 × 9,890.16
  4. Step 4: Simplify right side
    16,179x = 220,823,140.81
  5. Step 5: Solve for x
    x = 220,823,140.81/16,179
  6. Step 6: Final answer
    x = 13,648.75

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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.