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Finding the Fourth Proportional to 12,533.57, 18,803.82 and 11,156.52

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Solution

The fourth proportional to 12,533.57, 18,803.82 and 11,156.52 is: 16,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.57 : 18,803.82 = 11,156.52 : x
  2. Step 2: Convert to fraction form
    12,533.57/18,803.82 = 11,156.52/x
  3. Step 3: Cross multiply
    12,533.57x = 18,803.82 × 11,156.52
  4. Step 4: Simplify right side
    12,533.57x = 209,785,193.91
  5. Step 5: Solve for x
    x = 209,785,193.91/12,533.57
  6. Step 6: Final answer
    x = 16,737.87

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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.