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Finding the Fourth Proportional to 11,201.88, 16,742.36 and 9,785.18

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Solution

The fourth proportional to 11,201.88, 16,742.36 and 9,785.18 is: 14,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.88 : 16,742.36 = 9,785.18 : x
  2. Step 2: Convert to fraction form
    11,201.88/16,742.36 = 9,785.18/x
  3. Step 3: Cross multiply
    11,201.88x = 16,742.36 × 9,785.18
  4. Step 4: Simplify right side
    11,201.88x = 163,827,006.22
  5. Step 5: Solve for x
    x = 163,827,006.22/11,201.88
  6. Step 6: Final answer
    x = 14,624.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.