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Finding the Fourth Proportional to 13,820.22, 19,071.84 and 7,850.70

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Solution

The fourth proportional to 13,820.22, 19,071.84 and 7,850.70 is: 10,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.22 : 19,071.84 = 7,850.70 : x
  2. Step 2: Convert to fraction form
    13,820.22/19,071.84 = 7,850.70/x
  3. Step 3: Cross multiply
    13,820.22x = 19,071.84 × 7,850.70
  4. Step 4: Simplify right side
    13,820.22x = 149,727,294.29
  5. Step 5: Solve for x
    x = 149,727,294.29/13,820.22
  6. Step 6: Final answer
    x = 10,833.93

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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.