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Finding the Fourth Proportional to 13,493.28, 18,617.73 and 7,828.98

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Solution

The fourth proportional to 13,493.28, 18,617.73 and 7,828.98 is: 10,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.28 : 18,617.73 = 7,828.98 : x
  2. Step 2: Convert to fraction form
    13,493.28/18,617.73 = 7,828.98/x
  3. Step 3: Cross multiply
    13,493.28x = 18,617.73 × 7,828.98
  4. Step 4: Simplify right side
    13,493.28x = 145,757,835.82
  5. Step 5: Solve for x
    x = 145,757,835.82/13,493.28
  6. Step 6: Final answer
    x = 10,802.25

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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.