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Finding the Fourth Proportional to 24,722.64, 37,087.44 and 7,193.76

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Solution

The fourth proportional to 24,722.64, 37,087.44 and 7,193.76 is: 10,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,722.64 : 37,087.44 = 7,193.76 : x
  2. Step 2: Convert to fraction form
    24,722.64/37,087.44 = 7,193.76/x
  3. Step 3: Cross multiply
    24,722.64x = 37,087.44 × 7,193.76
  4. Step 4: Simplify right side
    24,722.64x = 266,798,142.37
  5. Step 5: Solve for x
    x = 266,798,142.37/24,722.64
  6. Step 6: Final answer
    x = 10,791.65

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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.