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Finding the Fourth Proportional to 13,702.54, 18,881.60 and 9,454.90

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Solution

The fourth proportional to 13,702.54, 18,881.60 and 9,454.90 is: 13,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.54 : 18,881.60 = 9,454.90 : x
  2. Step 2: Convert to fraction form
    13,702.54/18,881.60 = 9,454.90/x
  3. Step 3: Cross multiply
    13,702.54x = 18,881.60 × 9,454.90
  4. Step 4: Simplify right side
    13,702.54x = 178,523,639.84
  5. Step 5: Solve for x
    x = 178,523,639.84/13,702.54
  6. Step 6: Final answer
    x = 13,028.51

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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.