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Finding the Fourth Proportional to 11,074.74, 16,595.70 and 9,114.29

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Solution

The fourth proportional to 11,074.74, 16,595.70 and 9,114.29 is: 13,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074.74 : 16,595.70 = 9,114.29 : x
  2. Step 2: Convert to fraction form
    11,074.74/16,595.70 = 9,114.29/x
  3. Step 3: Cross multiply
    11,074.74x = 16,595.70 × 9,114.29
  4. Step 4: Simplify right side
    11,074.74x = 151,258,022.55
  5. Step 5: Solve for x
    x = 151,258,022.55/11,074.74
  6. Step 6: Final answer
    x = 13,657.94

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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.