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Finding the Fourth Proportional to 17,777.89, 24,533.73 and 9,711.91

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Solution

The fourth proportional to 17,777.89, 24,533.73 and 9,711.91 is: 13,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.89 : 24,533.73 = 9,711.91 : x
  2. Step 2: Convert to fraction form
    17,777.89/24,533.73 = 9,711.91/x
  3. Step 3: Cross multiply
    17,777.89x = 24,533.73 × 9,711.91
  4. Step 4: Simplify right side
    17,777.89x = 238,269,377.72
  5. Step 5: Solve for x
    x = 238,269,377.72/17,777.89
  6. Step 6: Final answer
    x = 13,402.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.