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Finding the Fourth Proportional to 22,546.72, 33,818.64 and 7,762.72

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Solution

The fourth proportional to 22,546.72, 33,818.64 and 7,762.72 is: 11,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.72 : 33,818.64 = 7,762.72 : x
  2. Step 2: Convert to fraction form
    22,546.72/33,818.64 = 7,762.72/x
  3. Step 3: Cross multiply
    22,546.72x = 33,818.64 × 7,762.72
  4. Step 4: Simplify right side
    22,546.72x = 262,524,633.10
  5. Step 5: Solve for x
    x = 262,524,633.10/22,546.72
  6. Step 6: Final answer
    x = 11,643.58

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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.