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Finding the Fourth Proportional to 13,258.26, 18,293.94 and 9,012.78

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Solution

The fourth proportional to 13,258.26, 18,293.94 and 9,012.78 is: 12,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.26 : 18,293.94 = 9,012.78 : x
  2. Step 2: Convert to fraction form
    13,258.26/18,293.94 = 9,012.78/x
  3. Step 3: Cross multiply
    13,258.26x = 18,293.94 × 9,012.78
  4. Step 4: Simplify right side
    13,258.26x = 164,879,256.55
  5. Step 5: Solve for x
    x = 164,879,256.55/13,258.26
  6. Step 6: Final answer
    x = 12,435.96

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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.