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Finding the Fourth Proportional to 13,821.03, 19,071.35 and 7,851.03

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Solution

The fourth proportional to 13,821.03, 19,071.35 and 7,851.03 is: 10,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.03 : 19,071.35 = 7,851.03 : x
  2. Step 2: Convert to fraction form
    13,821.03/19,071.35 = 7,851.03/x
  3. Step 3: Cross multiply
    13,821.03x = 19,071.35 × 7,851.03
  4. Step 4: Simplify right side
    13,821.03x = 149,729,659.66
  5. Step 5: Solve for x
    x = 149,729,659.66/13,821.03
  6. Step 6: Final answer
    x = 10,833.47

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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.