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Finding the Fourth Proportional to 16,166.76, 22,302.64 and 9,452.67

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Solution

The fourth proportional to 16,166.76, 22,302.64 and 9,452.67 is: 13,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.76 : 22,302.64 = 9,452.67 : x
  2. Step 2: Convert to fraction form
    16,166.76/22,302.64 = 9,452.67/x
  3. Step 3: Cross multiply
    16,166.76x = 22,302.64 × 9,452.67
  4. Step 4: Simplify right side
    16,166.76x = 210,819,496.05
  5. Step 5: Solve for x
    x = 210,819,496.05/16,166.76
  6. Step 6: Final answer
    x = 13,040.31

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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.