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Finding the Fourth Proportional to 11,167.70, 16,751.55 and 9,497.30

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Solution

The fourth proportional to 11,167.70, 16,751.55 and 9,497.30 is: 14,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.70 : 16,751.55 = 9,497.30 : x
  2. Step 2: Convert to fraction form
    11,167.70/16,751.55 = 9,497.30/x
  3. Step 3: Cross multiply
    11,167.70x = 16,751.55 × 9,497.30
  4. Step 4: Simplify right side
    11,167.70x = 159,094,495.82
  5. Step 5: Solve for x
    x = 159,094,495.82/11,167.70
  6. Step 6: Final answer
    x = 14,245.95

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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.