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Finding the Fourth Proportional to 11,646.76, 17,469.93 and 2,881.67

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Solution

The fourth proportional to 11,646.76, 17,469.93 and 2,881.67 is: 4,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.76 : 17,469.93 = 2,881.67 : x
  2. Step 2: Convert to fraction form
    11,646.76/17,469.93 = 2,881.67/x
  3. Step 3: Cross multiply
    11,646.76x = 17,469.93 × 2,881.67
  4. Step 4: Simplify right side
    11,646.76x = 50,342,573.18
  5. Step 5: Solve for x
    x = 50,342,573.18/11,646.76
  6. Step 6: Final answer
    x = 4,322.45

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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.