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Finding the Fourth Proportional to 24,372.88, 36,564.79 and 7,733.46

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Solution

The fourth proportional to 24,372.88, 36,564.79 and 7,733.46 is: 11,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372.88 : 36,564.79 = 7,733.46 : x
  2. Step 2: Convert to fraction form
    24,372.88/36,564.79 = 7,733.46/x
  3. Step 3: Cross multiply
    24,372.88x = 36,564.79 × 7,733.46
  4. Step 4: Simplify right side
    24,372.88x = 282,772,289.23
  5. Step 5: Solve for x
    x = 282,772,289.23/24,372.88
  6. Step 6: Final answer
    x = 11,601.92

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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.