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Finding the Fourth Proportional to 11,570.70, 17,342.49 and 10,181.16

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Solution

The fourth proportional to 11,570.70, 17,342.49 and 10,181.16 is: 15,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.70 : 17,342.49 = 10,181.16 : x
  2. Step 2: Convert to fraction form
    11,570.70/17,342.49 = 10,181.16/x
  3. Step 3: Cross multiply
    11,570.70x = 17,342.49 × 10,181.16
  4. Step 4: Simplify right side
    11,570.70x = 176,566,665.49
  5. Step 5: Solve for x
    x = 176,566,665.49/11,570.70
  6. Step 6: Final answer
    x = 15,259.81

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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.