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Finding the Fourth Proportional to 26,847.84, 40,265.52 and 10,209.84

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Solution

The fourth proportional to 26,847.84, 40,265.52 and 10,209.84 is: 15,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,847.84 : 40,265.52 = 10,209.84 : x
  2. Step 2: Convert to fraction form
    26,847.84/40,265.52 = 10,209.84/x
  3. Step 3: Cross multiply
    26,847.84x = 40,265.52 × 10,209.84
  4. Step 4: Simplify right side
    26,847.84x = 411,104,516.72
  5. Step 5: Solve for x
    x = 411,104,516.72/26,847.84
  6. Step 6: Final answer
    x = 15,312.39

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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.