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Finding the Fourth Proportional to 12,454.63, 17,187.60 and 7,149.40

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Solution

The fourth proportional to 12,454.63, 17,187.60 and 7,149.40 is: 9,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.63 : 17,187.60 = 7,149.40 : x
  2. Step 2: Convert to fraction form
    12,454.63/17,187.60 = 7,149.40/x
  3. Step 3: Cross multiply
    12,454.63x = 17,187.60 × 7,149.40
  4. Step 4: Simplify right side
    12,454.63x = 122,881,027.44
  5. Step 5: Solve for x
    x = 122,881,027.44/12,454.63
  6. Step 6: Final answer
    x = 9,866.29

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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.