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Finding the Fourth Proportional to 22,993.14, 31,730.52 and 13,439.60

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Solution

The fourth proportional to 22,993.14, 31,730.52 and 13,439.60 is: 18,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.14 : 31,730.52 = 13,439.60 : x
  2. Step 2: Convert to fraction form
    22,993.14/31,730.52 = 13,439.60/x
  3. Step 3: Cross multiply
    22,993.14x = 31,730.52 × 13,439.60
  4. Step 4: Simplify right side
    22,993.14x = 426,445,496.59
  5. Step 5: Solve for x
    x = 426,445,496.59/22,993.14
  6. Step 6: Final answer
    x = 18,546.64

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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.