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Finding the Fourth Proportional to 12,153.80, 16,772.24 and 6,564.80

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Solution

The fourth proportional to 12,153.80, 16,772.24 and 6,564.80 is: 9,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.80 : 16,772.24 = 6,564.80 : x
  2. Step 2: Convert to fraction form
    12,153.80/16,772.24 = 6,564.80/x
  3. Step 3: Cross multiply
    12,153.80x = 16,772.24 × 6,564.80
  4. Step 4: Simplify right side
    12,153.80x = 110,106,346.69
  5. Step 5: Solve for x
    x = 110,106,346.69/12,153.80
  6. Step 6: Final answer
    x = 9,059.42

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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.