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Finding the Fourth Proportional to 13,046.86, 19,536.90 and 7,196.98

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Solution

The fourth proportional to 13,046.86, 19,536.90 and 7,196.98 is: 10,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.86 : 19,536.90 = 7,196.98 : x
  2. Step 2: Convert to fraction form
    13,046.86/19,536.90 = 7,196.98/x
  3. Step 3: Cross multiply
    13,046.86x = 19,536.90 × 7,196.98
  4. Step 4: Simplify right side
    13,046.86x = 140,606,678.56
  5. Step 5: Solve for x
    x = 140,606,678.56/13,046.86
  6. Step 6: Final answer
    x = 10,777.05

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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.