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Finding the Fourth Proportional to 22,985.32, 31,722.94 and 12,914.54

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Solution

The fourth proportional to 22,985.32, 31,722.94 and 12,914.54 is: 17,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.32 : 31,722.94 = 12,914.54 : x
  2. Step 2: Convert to fraction form
    22,985.32/31,722.94 = 12,914.54/x
  3. Step 3: Cross multiply
    22,985.32x = 31,722.94 × 12,914.54
  4. Step 4: Simplify right side
    22,985.32x = 409,687,177.55
  5. Step 5: Solve for x
    x = 409,687,177.55/22,985.32
  6. Step 6: Final answer
    x = 17,823.86

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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.