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Finding the Fourth Proportional to 26,224.74, 39,302.08 and 9,569.12

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Solution

The fourth proportional to 26,224.74, 39,302.08 and 9,569.12 is: 14,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,224.74 : 39,302.08 = 9,569.12 : x
  2. Step 2: Convert to fraction form
    26,224.74/39,302.08 = 9,569.12/x
  3. Step 3: Cross multiply
    26,224.74x = 39,302.08 × 9,569.12
  4. Step 4: Simplify right side
    26,224.74x = 376,086,099.34
  5. Step 5: Solve for x
    x = 376,086,099.34/26,224.74
  6. Step 6: Final answer
    x = 14,340.89

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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.