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Finding the Fourth Proportional to 26,554.57, 39,822.57 and 7,829.63

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Solution

The fourth proportional to 26,554.57, 39,822.57 and 7,829.63 is: 11,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,554.57 : 39,822.57 = 7,829.63 : x
  2. Step 2: Convert to fraction form
    26,554.57/39,822.57 = 7,829.63/x
  3. Step 3: Cross multiply
    26,554.57x = 39,822.57 × 7,829.63
  4. Step 4: Simplify right side
    26,554.57x = 311,796,088.31
  5. Step 5: Solve for x
    x = 311,796,088.31/26,554.57
  6. Step 6: Final answer
    x = 11,741.71

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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.