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Finding the Fourth Proportional to 13,115.80, 19,625.70 and 9,659.80

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Solution

The fourth proportional to 13,115.80, 19,625.70 and 9,659.80 is: 14,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.80 : 19,625.70 = 9,659.80 : x
  2. Step 2: Convert to fraction form
    13,115.80/19,625.70 = 9,659.80/x
  3. Step 3: Cross multiply
    13,115.80x = 19,625.70 × 9,659.80
  4. Step 4: Simplify right side
    13,115.80x = 189,580,336.86
  5. Step 5: Solve for x
    x = 189,580,336.86/13,115.80
  6. Step 6: Final answer
    x = 14,454.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.