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Finding the Fourth Proportional to 12,884.66, 19,302.51 and 11,511.86

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Solution

The fourth proportional to 12,884.66, 19,302.51 and 11,511.86 is: 17,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.66 : 19,302.51 = 11,511.86 : x
  2. Step 2: Convert to fraction form
    12,884.66/19,302.51 = 11,511.86/x
  3. Step 3: Cross multiply
    12,884.66x = 19,302.51 × 11,511.86
  4. Step 4: Simplify right side
    12,884.66x = 222,207,792.77
  5. Step 5: Solve for x
    x = 222,207,792.77/12,884.66
  6. Step 6: Final answer
    x = 17,245.92

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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.