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Finding the Fourth Proportional to 13,969.31, 19,276.48 and 8,225.85

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Solution

The fourth proportional to 13,969.31, 19,276.48 and 8,225.85 is: 11,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.31 : 19,276.48 = 8,225.85 : x
  2. Step 2: Convert to fraction form
    13,969.31/19,276.48 = 8,225.85/x
  3. Step 3: Cross multiply
    13,969.31x = 19,276.48 × 8,225.85
  4. Step 4: Simplify right side
    13,969.31x = 158,565,515.58
  5. Step 5: Solve for x
    x = 158,565,515.58/13,969.31
  6. Step 6: Final answer
    x = 11,350.99

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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.