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Finding the Fourth Proportional to 22,957.37, 31,678.73 and 12,886.92

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Solution

The fourth proportional to 22,957.37, 31,678.73 and 12,886.92 is: 17,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.37 : 31,678.73 = 12,886.92 : x
  2. Step 2: Convert to fraction form
    22,957.37/31,678.73 = 12,886.92/x
  3. Step 3: Cross multiply
    22,957.37x = 31,678.73 × 12,886.92
  4. Step 4: Simplify right side
    22,957.37x = 408,241,100.82
  5. Step 5: Solve for x
    x = 408,241,100.82/22,957.37
  6. Step 6: Final answer
    x = 17,782.58

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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.