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Finding the Fourth Proportional to 12,455.54, 17,188 and 7,077.26

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Solution

The fourth proportional to 12,455.54, 17,188 and 7,077.26 is: 9,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.54 : 17,188 = 7,077.26 : x
  2. Step 2: Convert to fraction form
    12,455.54/17,188 = 7,077.26/x
  3. Step 3: Cross multiply
    12,455.54x = 17,188 × 7,077.26
  4. Step 4: Simplify right side
    12,455.54x = 121,643,944.88
  5. Step 5: Solve for x
    x = 121,643,944.88/12,455.54
  6. Step 6: Final answer
    x = 9,766.25

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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.