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Finding the Fourth Proportional to 34,147.22, 51,225.50 and 11,651.86

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Solution

The fourth proportional to 34,147.22, 51,225.50 and 11,651.86 is: 17,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,147.22 : 51,225.50 = 11,651.86 : x
  2. Step 2: Convert to fraction form
    34,147.22/51,225.50 = 11,651.86/x
  3. Step 3: Cross multiply
    34,147.22x = 51,225.50 × 11,651.86
  4. Step 4: Simplify right side
    34,147.22x = 596,872,447.59
  5. Step 5: Solve for x
    x = 596,872,447.59/34,147.22
  6. Step 6: Final answer
    x = 17,479.39

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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.