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Finding the Fourth Proportional to 15,422.94, 23,133.77 and 8,447.17

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Solution

The fourth proportional to 15,422.94, 23,133.77 and 8,447.17 is: 12,670.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422.94 : 23,133.77 = 8,447.17 : x
  2. Step 2: Convert to fraction form
    15,422.94/23,133.77 = 8,447.17/x
  3. Step 3: Cross multiply
    15,422.94x = 23,133.77 × 8,447.17
  4. Step 4: Simplify right side
    15,422.94x = 195,414,851.21
  5. Step 5: Solve for x
    x = 195,414,851.21/15,422.94
  6. Step 6: Final answer
    x = 12,670.40

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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.