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Finding the Fourth Proportional to 22,941.63, 34,384.77 and 11,842.26

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Solution

The fourth proportional to 22,941.63, 34,384.77 and 11,842.26 is: 17,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,941.63 : 34,384.77 = 11,842.26 : x
  2. Step 2: Convert to fraction form
    22,941.63/34,384.77 = 11,842.26/x
  3. Step 3: Cross multiply
    22,941.63x = 34,384.77 × 11,842.26
  4. Step 4: Simplify right side
    22,941.63x = 407,193,449.25
  5. Step 5: Solve for x
    x = 407,193,449.25/22,941.63
  6. Step 6: Final answer
    x = 17,749.11

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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.