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Finding the Fourth Proportional to 11,412.56, 17,026.66 and 9,749.84

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Solution

The fourth proportional to 11,412.56, 17,026.66 and 9,749.84 is: 14,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.56 : 17,026.66 = 9,749.84 : x
  2. Step 2: Convert to fraction form
    11,412.56/17,026.66 = 9,749.84/x
  3. Step 3: Cross multiply
    11,412.56x = 17,026.66 × 9,749.84
  4. Step 4: Simplify right side
    11,412.56x = 166,007,210.73
  5. Step 5: Solve for x
    x = 166,007,210.73/11,412.56
  6. Step 6: Final answer
    x = 14,546.01

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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.