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Finding the Fourth Proportional to 13,186.74, 19,781.74 and 4,866.80

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Solution

The fourth proportional to 13,186.74, 19,781.74 and 4,866.80 is: 7,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.74 : 19,781.74 = 4,866.80 : x
  2. Step 2: Convert to fraction form
    13,186.74/19,781.74 = 4,866.80/x
  3. Step 3: Cross multiply
    13,186.74x = 19,781.74 × 4,866.80
  4. Step 4: Simplify right side
    13,186.74x = 96,273,772.23
  5. Step 5: Solve for x
    x = 96,273,772.23/13,186.74
  6. Step 6: Final answer
    x = 7,300.80

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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.