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Finding the Fourth Proportional to 13,196.66, 19,777.77 and 10,065.20

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Solution

The fourth proportional to 13,196.66, 19,777.77 and 10,065.20 is: 15,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.66 : 19,777.77 = 10,065.20 : x
  2. Step 2: Convert to fraction form
    13,196.66/19,777.77 = 10,065.20/x
  3. Step 3: Cross multiply
    13,196.66x = 19,777.77 × 10,065.20
  4. Step 4: Simplify right side
    13,196.66x = 199,067,111.72
  5. Step 5: Solve for x
    x = 199,067,111.72/13,196.66
  6. Step 6: Final answer
    x = 15,084.66

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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.