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Finding the Fourth Proportional to 11,406.40, 17,027.08 and 9,856.38

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Solution

The fourth proportional to 11,406.40, 17,027.08 and 9,856.38 is: 14,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.40 : 17,027.08 = 9,856.38 : x
  2. Step 2: Convert to fraction form
    11,406.40/17,027.08 = 9,856.38/x
  3. Step 3: Cross multiply
    11,406.40x = 17,027.08 × 9,856.38
  4. Step 4: Simplify right side
    11,406.40x = 167,825,370.77
  5. Step 5: Solve for x
    x = 167,825,370.77/11,406.40
  6. Step 6: Final answer
    x = 14,713.26

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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.