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Finding the Fourth Proportional to 23,426, 35,083.78 and 20,331.24

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Solution

The fourth proportional to 23,426, 35,083.78 and 20,331.24 is: 30,448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,426 : 35,083.78 = 20,331.24 : x
  2. Step 2: Convert to fraction form
    23,426/35,083.78 = 20,331.24/x
  3. Step 3: Cross multiply
    23,426x = 35,083.78 × 20,331.24
  4. Step 4: Simplify right side
    23,426x = 713,296,751.29
  5. Step 5: Solve for x
    x = 713,296,751.29/23,426
  6. Step 6: Final answer
    x = 30,448.93

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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.