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Finding the Fourth Proportional to 11,809.92, 16,303.68 and 11,166.72

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Solution

The fourth proportional to 11,809.92, 16,303.68 and 11,166.72 is: 15,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.92 : 16,303.68 = 11,166.72 : x
  2. Step 2: Convert to fraction form
    11,809.92/16,303.68 = 11,166.72/x
  3. Step 3: Cross multiply
    11,809.92x = 16,303.68 × 11,166.72
  4. Step 4: Simplify right side
    11,809.92x = 182,058,629.53
  5. Step 5: Solve for x
    x = 182,058,629.53/11,809.92
  6. Step 6: Final answer
    x = 15,415.74

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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.