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Finding the Fourth Proportional to 13,222.80, 19,801.80 and 8,816.40

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Solution

The fourth proportional to 13,222.80, 19,801.80 and 8,816.40 is: 13,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.80 : 19,801.80 = 8,816.40 : x
  2. Step 2: Convert to fraction form
    13,222.80/19,801.80 = 8,816.40/x
  3. Step 3: Cross multiply
    13,222.80x = 19,801.80 × 8,816.40
  4. Step 4: Simplify right side
    13,222.80x = 174,580,589.52
  5. Step 5: Solve for x
    x = 174,580,589.52/13,222.80
  6. Step 6: Final answer
    x = 13,203.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.