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Finding the Fourth Proportional to 26,497.86, 39,738 and 10,698.81

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Solution

The fourth proportional to 26,497.86, 39,738 and 10,698.81 is: 16,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,497.86 : 39,738 = 10,698.81 : x
  2. Step 2: Convert to fraction form
    26,497.86/39,738 = 10,698.81/x
  3. Step 3: Cross multiply
    26,497.86x = 39,738 × 10,698.81
  4. Step 4: Simplify right side
    26,497.86x = 425,149,311.78
  5. Step 5: Solve for x
    x = 425,149,311.78/26,497.86
  6. Step 6: Final answer
    x = 16,044.67

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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.