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Finding the Fourth Proportional to 26,829.84, 40,235.64 and 9,295.57

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Solution

The fourth proportional to 26,829.84, 40,235.64 and 9,295.57 is: 13,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,829.84 : 40,235.64 = 9,295.57 : x
  2. Step 2: Convert to fraction form
    26,829.84/40,235.64 = 9,295.57/x
  3. Step 3: Cross multiply
    26,829.84x = 40,235.64 × 9,295.57
  4. Step 4: Simplify right side
    26,829.84x = 374,013,208.11
  5. Step 5: Solve for x
    x = 374,013,208.11/26,829.84
  6. Step 6: Final answer
    x = 13,940.20

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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.