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Finding the Fourth Proportional to 13,807.67, 19,055.66 and 7,841.21

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Solution

The fourth proportional to 13,807.67, 19,055.66 and 7,841.21 is: 10,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.67 : 19,055.66 = 7,841.21 : x
  2. Step 2: Convert to fraction form
    13,807.67/19,055.66 = 7,841.21/x
  3. Step 3: Cross multiply
    13,807.67x = 19,055.66 × 7,841.21
  4. Step 4: Simplify right side
    13,807.67x = 149,419,297.26
  5. Step 5: Solve for x
    x = 149,419,297.26/13,807.67
  6. Step 6: Final answer
    x = 10,821.47

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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.