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Finding the Fourth Proportional to 11,406.78, 17,035.14 and 9,849.96

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Solution

The fourth proportional to 11,406.78, 17,035.14 and 9,849.96 is: 14,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.78 : 17,035.14 = 9,849.96 : x
  2. Step 2: Convert to fraction form
    11,406.78/17,035.14 = 9,849.96/x
  3. Step 3: Cross multiply
    11,406.78x = 17,035.14 × 9,849.96
  4. Step 4: Simplify right side
    11,406.78x = 167,795,447.59
  5. Step 5: Solve for x
    x = 167,795,447.59/11,406.78
  6. Step 6: Final answer
    x = 14,710.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.