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Finding the Fourth Proportional to 20,156.19, 27,813.83 and 11,200.83

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Solution

The fourth proportional to 20,156.19, 27,813.83 and 11,200.83 is: 15,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.19 : 27,813.83 = 11,200.83 : x
  2. Step 2: Convert to fraction form
    20,156.19/27,813.83 = 11,200.83/x
  3. Step 3: Cross multiply
    20,156.19x = 27,813.83 × 11,200.83
  4. Step 4: Simplify right side
    20,156.19x = 311,537,925.47
  5. Step 5: Solve for x
    x = 311,537,925.47/20,156.19
  6. Step 6: Final answer
    x = 15,456.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.