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Finding the Fourth Proportional to 22,527.48, 33,782.58 and 7,733.64

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Solution

The fourth proportional to 22,527.48, 33,782.58 and 7,733.64 is: 11,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.48 : 33,782.58 = 7,733.64 : x
  2. Step 2: Convert to fraction form
    22,527.48/33,782.58 = 7,733.64/x
  3. Step 3: Cross multiply
    22,527.48x = 33,782.58 × 7,733.64
  4. Step 4: Simplify right side
    22,527.48x = 261,262,311.99
  5. Step 5: Solve for x
    x = 261,262,311.99/22,527.48
  6. Step 6: Final answer
    x = 11,597.49

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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.