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Finding the Fourth Proportional to 13,805.25, 19,051.29 and 7,517.67

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Solution

The fourth proportional to 13,805.25, 19,051.29 and 7,517.67 is: 10,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.25 : 19,051.29 = 7,517.67 : x
  2. Step 2: Convert to fraction form
    13,805.25/19,051.29 = 7,517.67/x
  3. Step 3: Cross multiply
    13,805.25x = 19,051.29 × 7,517.67
  4. Step 4: Simplify right side
    13,805.25x = 143,221,311.29
  5. Step 5: Solve for x
    x = 143,221,311.29/13,805.25
  6. Step 6: Final answer
    x = 10,374.41

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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.