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Finding the Fourth Proportional to 22,957.98, 31,682.48 and 12,887.16

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Solution

The fourth proportional to 22,957.98, 31,682.48 and 12,887.16 is: 17,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.98 : 31,682.48 = 12,887.16 : x
  2. Step 2: Convert to fraction form
    22,957.98/31,682.48 = 12,887.16/x
  3. Step 3: Cross multiply
    22,957.98x = 31,682.48 × 12,887.16
  4. Step 4: Simplify right side
    22,957.98x = 408,297,124.52
  5. Step 5: Solve for x
    x = 408,297,124.52/22,957.98
  6. Step 6: Final answer
    x = 17,784.54

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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.