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Finding the Fourth Proportional to 11,559.40, 17,293.47 and 8,906.81

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Solution

The fourth proportional to 11,559.40, 17,293.47 and 8,906.81 is: 13,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.40 : 17,293.47 = 8,906.81 : x
  2. Step 2: Convert to fraction form
    11,559.40/17,293.47 = 8,906.81/x
  3. Step 3: Cross multiply
    11,559.40x = 17,293.47 × 8,906.81
  4. Step 4: Simplify right side
    11,559.40x = 154,029,631.13
  5. Step 5: Solve for x
    x = 154,029,631.13/11,559.40
  6. Step 6: Final answer
    x = 13,325.06

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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.