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Finding the Fourth Proportional to 22,682.58, 33,989.22 and 9,527.76

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Solution

The fourth proportional to 22,682.58, 33,989.22 and 9,527.76 is: 14,277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.58 : 33,989.22 = 9,527.76 : x
  2. Step 2: Convert to fraction form
    22,682.58/33,989.22 = 9,527.76/x
  3. Step 3: Cross multiply
    22,682.58x = 33,989.22 × 9,527.76
  4. Step 4: Simplify right side
    22,682.58x = 323,841,130.75
  5. Step 5: Solve for x
    x = 323,841,130.75/22,682.58
  6. Step 6: Final answer
    x = 14,277.09

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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.