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Finding the Fourth Proportional to 23,207.09, 34,829.06 and 8,420.22

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Solution

The fourth proportional to 23,207.09, 34,829.06 and 8,420.22 is: 12,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207.09 : 34,829.06 = 8,420.22 : x
  2. Step 2: Convert to fraction form
    23,207.09/34,829.06 = 8,420.22/x
  3. Step 3: Cross multiply
    23,207.09x = 34,829.06 × 8,420.22
  4. Step 4: Simplify right side
    23,207.09x = 293,268,305.49
  5. Step 5: Solve for x
    x = 293,268,305.49/23,207.09
  6. Step 6: Final answer
    x = 12,637.02

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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.