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Finding the Fourth Proportional to 24,475.69, 36,715.97 and 7,831.54

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Solution

The fourth proportional to 24,475.69, 36,715.97 and 7,831.54 is: 11,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.69 : 36,715.97 = 7,831.54 : x
  2. Step 2: Convert to fraction form
    24,475.69/36,715.97 = 7,831.54/x
  3. Step 3: Cross multiply
    24,475.69x = 36,715.97 × 7,831.54
  4. Step 4: Simplify right side
    24,475.69x = 287,542,587.69
  5. Step 5: Solve for x
    x = 287,542,587.69/24,475.69
  6. Step 6: Final answer
    x = 11,748.09

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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.