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Finding the Fourth Proportional to 35,140.74, 52,711.38 and 11,769

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Solution

The fourth proportional to 35,140.74, 52,711.38 and 11,769 is: 17,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,140.74 : 52,711.38 = 11,769 : x
  2. Step 2: Convert to fraction form
    35,140.74/52,711.38 = 11,769/x
  3. Step 3: Cross multiply
    35,140.74x = 52,711.38 × 11,769
  4. Step 4: Simplify right side
    35,140.74x = 620,360,231.22
  5. Step 5: Solve for x
    x = 620,360,231.22/35,140.74
  6. Step 6: Final answer
    x = 17,653.59

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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.