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Finding the Fourth Proportional to 34,098.56, 51,147.84 and 13,040.74

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Solution

The fourth proportional to 34,098.56, 51,147.84 and 13,040.74 is: 19,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098.56 : 51,147.84 = 13,040.74 : x
  2. Step 2: Convert to fraction form
    34,098.56/51,147.84 = 13,040.74/x
  3. Step 3: Cross multiply
    34,098.56x = 51,147.84 × 13,040.74
  4. Step 4: Simplify right side
    34,098.56x = 667,005,683.00
  5. Step 5: Solve for x
    x = 667,005,683.00/34,098.56
  6. Step 6: Final answer
    x = 19,561.11

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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.