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Finding the Fourth Proportional to 26,698.95, 40,050.72 and 6,977.49

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Solution

The fourth proportional to 26,698.95, 40,050.72 and 6,977.49 is: 10,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,698.95 : 40,050.72 = 6,977.49 : x
  2. Step 2: Convert to fraction form
    26,698.95/40,050.72 = 6,977.49/x
  3. Step 3: Cross multiply
    26,698.95x = 40,050.72 × 6,977.49
  4. Step 4: Simplify right side
    26,698.95x = 279,453,498.29
  5. Step 5: Solve for x
    x = 279,453,498.29/26,698.95
  6. Step 6: Final answer
    x = 10,466.83

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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.