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Finding the Fourth Proportional to 22,586.66, 31,167 and 12,512.58

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Solution

The fourth proportional to 22,586.66, 31,167 and 12,512.58 is: 17,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.66 : 31,167 = 12,512.58 : x
  2. Step 2: Convert to fraction form
    22,586.66/31,167 = 12,512.58/x
  3. Step 3: Cross multiply
    22,586.66x = 31,167 × 12,512.58
  4. Step 4: Simplify right side
    22,586.66x = 389,979,580.86
  5. Step 5: Solve for x
    x = 389,979,580.86/22,586.66
  6. Step 6: Final answer
    x = 17,265.93

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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.