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Finding the Fourth Proportional to 22,533.04, 33,791.16 and 7,737.76

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Solution

The fourth proportional to 22,533.04, 33,791.16 and 7,737.76 is: 11,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.04 : 33,791.16 = 7,737.76 : x
  2. Step 2: Convert to fraction form
    22,533.04/33,791.16 = 7,737.76/x
  3. Step 3: Cross multiply
    22,533.04x = 33,791.16 × 7,737.76
  4. Step 4: Simplify right side
    22,533.04x = 261,467,886.20
  5. Step 5: Solve for x
    x = 261,467,886.20/22,533.04
  6. Step 6: Final answer
    x = 11,603.76

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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.