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Finding the Fourth Proportional to 26,497.86, 39,745.44 and 9,851.46

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Solution

The fourth proportional to 26,497.86, 39,745.44 and 9,851.46 is: 14,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,497.86 : 39,745.44 = 9,851.46 : x
  2. Step 2: Convert to fraction form
    26,497.86/39,745.44 = 9,851.46/x
  3. Step 3: Cross multiply
    26,497.86x = 39,745.44 × 9,851.46
  4. Step 4: Simplify right side
    26,497.86x = 391,550,612.34
  5. Step 5: Solve for x
    x = 391,550,612.34/26,497.86
  6. Step 6: Final answer
    x = 14,776.69

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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.