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Finding the Fourth Proportional to 23,009.22, 34,513.89 and 6,998.90

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Solution

The fourth proportional to 23,009.22, 34,513.89 and 6,998.90 is: 10,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.22 : 34,513.89 = 6,998.90 : x
  2. Step 2: Convert to fraction form
    23,009.22/34,513.89 = 6,998.90/x
  3. Step 3: Cross multiply
    23,009.22x = 34,513.89 × 6,998.90
  4. Step 4: Simplify right side
    23,009.22x = 241,559,065.91
  5. Step 5: Solve for x
    x = 241,559,065.91/23,009.22
  6. Step 6: Final answer
    x = 10,498.36

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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.