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Finding the Fourth Proportional to 23,406.31, 35,102.15 and 7,820.29

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Solution

The fourth proportional to 23,406.31, 35,102.15 and 7,820.29 is: 11,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406.31 : 35,102.15 = 7,820.29 : x
  2. Step 2: Convert to fraction form
    23,406.31/35,102.15 = 7,820.29/x
  3. Step 3: Cross multiply
    23,406.31x = 35,102.15 × 7,820.29
  4. Step 4: Simplify right side
    23,406.31x = 274,508,817.11
  5. Step 5: Solve for x
    x = 274,508,817.11/23,406.31
  6. Step 6: Final answer
    x = 11,727.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.