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Finding the Fourth Proportional to 16,285.88, 22,474.52 and 9,212.15

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Solution

The fourth proportional to 16,285.88, 22,474.52 and 9,212.15 is: 12,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.88 : 22,474.52 = 9,212.15 : x
  2. Step 2: Convert to fraction form
    16,285.88/22,474.52 = 9,212.15/x
  3. Step 3: Cross multiply
    16,285.88x = 22,474.52 × 9,212.15
  4. Step 4: Simplify right side
    16,285.88x = 207,038,490.98
  5. Step 5: Solve for x
    x = 207,038,490.98/16,285.88
  6. Step 6: Final answer
    x = 12,712.76

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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.