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Finding the Fourth Proportional to 26,065.41, 39,098.16 and 6,343.98

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Solution

The fourth proportional to 26,065.41, 39,098.16 and 6,343.98 is: 9,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,065.41 : 39,098.16 = 6,343.98 : x
  2. Step 2: Convert to fraction form
    26,065.41/39,098.16 = 6,343.98/x
  3. Step 3: Cross multiply
    26,065.41x = 39,098.16 × 6,343.98
  4. Step 4: Simplify right side
    26,065.41x = 248,037,945.08
  5. Step 5: Solve for x
    x = 248,037,945.08/26,065.41
  6. Step 6: Final answer
    x = 9,515.98

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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.