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Finding the Fourth Proportional to 13,062.24, 19,573.20 and 7,786.80

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Solution

The fourth proportional to 13,062.24, 19,573.20 and 7,786.80 is: 11,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,062.24 : 19,573.20 = 7,786.80 : x
  2. Step 2: Convert to fraction form
    13,062.24/19,573.20 = 7,786.80/x
  3. Step 3: Cross multiply
    13,062.24x = 19,573.20 × 7,786.80
  4. Step 4: Simplify right side
    13,062.24x = 152,412,593.76
  5. Step 5: Solve for x
    x = 152,412,593.76/13,062.24
  6. Step 6: Final answer
    x = 11,668.18

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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.