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Finding the Fourth Proportional to 12,884.93, 19,415.17 and 10,596.21

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Solution

The fourth proportional to 12,884.93, 19,415.17 and 10,596.21 is: 15,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.93 : 19,415.17 = 10,596.21 : x
  2. Step 2: Convert to fraction form
    12,884.93/19,415.17 = 10,596.21/x
  3. Step 3: Cross multiply
    12,884.93x = 19,415.17 × 10,596.21
  4. Step 4: Simplify right side
    12,884.93x = 205,727,121.43
  5. Step 5: Solve for x
    x = 205,727,121.43/12,884.93
  6. Step 6: Final answer
    x = 15,966.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.