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Finding the Fourth Proportional to 26,558.66, 39,833.54 and 7,838.35

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Solution

The fourth proportional to 26,558.66, 39,833.54 and 7,838.35 is: 11,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,558.66 : 39,833.54 = 7,838.35 : x
  2. Step 2: Convert to fraction form
    26,558.66/39,833.54 = 7,838.35/x
  3. Step 3: Cross multiply
    26,558.66x = 39,833.54 × 7,838.35
  4. Step 4: Simplify right side
    26,558.66x = 312,228,989.90
  5. Step 5: Solve for x
    x = 312,228,989.90/26,558.66
  6. Step 6: Final answer
    x = 11,756.20

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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.