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Finding the Fourth Proportional to 13,276.09, 19,909 and 5,376.63

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Solution

The fourth proportional to 13,276.09, 19,909 and 5,376.63 is: 8,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,276.09 : 19,909 = 5,376.63 : x
  2. Step 2: Convert to fraction form
    13,276.09/19,909 = 5,376.63/x
  3. Step 3: Cross multiply
    13,276.09x = 19,909 × 5,376.63
  4. Step 4: Simplify right side
    13,276.09x = 107,043,326.67
  5. Step 5: Solve for x
    x = 107,043,326.67/13,276.09
  6. Step 6: Final answer
    x = 8,062.87

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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.