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Finding the Fourth Proportional to 13,010.50, 17,962.23 and 8,542.08

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Solution

The fourth proportional to 13,010.50, 17,962.23 and 8,542.08 is: 11,793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.50 : 17,962.23 = 8,542.08 : x
  2. Step 2: Convert to fraction form
    13,010.50/17,962.23 = 8,542.08/x
  3. Step 3: Cross multiply
    13,010.50x = 17,962.23 × 8,542.08
  4. Step 4: Simplify right side
    13,010.50x = 153,434,805.64
  5. Step 5: Solve for x
    x = 153,434,805.64/13,010.50
  6. Step 6: Final answer
    x = 11,793.15

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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.