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Finding the Fourth Proportional to 11,202.87, 16,804.50 and 9,117.72

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Solution

The fourth proportional to 11,202.87, 16,804.50 and 9,117.72 is: 13,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.87 : 16,804.50 = 9,117.72 : x
  2. Step 2: Convert to fraction form
    11,202.87/16,804.50 = 9,117.72/x
  3. Step 3: Cross multiply
    11,202.87x = 16,804.50 × 9,117.72
  4. Step 4: Simplify right side
    11,202.87x = 153,218,725.74
  5. Step 5: Solve for x
    x = 153,218,725.74/11,202.87
  6. Step 6: Final answer
    x = 13,676.74

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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.