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Finding the Fourth Proportional to 21,740.35, 32,622.83 and 9,259.08

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Solution

The fourth proportional to 21,740.35, 32,622.83 and 9,259.08 is: 13,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,740.35 : 32,622.83 = 9,259.08 : x
  2. Step 2: Convert to fraction form
    21,740.35/32,622.83 = 9,259.08/x
  3. Step 3: Cross multiply
    21,740.35x = 32,622.83 × 9,259.08
  4. Step 4: Simplify right side
    21,740.35x = 302,057,310.97
  5. Step 5: Solve for x
    x = 302,057,310.97/21,740.35
  6. Step 6: Final answer
    x = 13,893.86

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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.