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Finding the Fourth Proportional to 23,213.10, 34,817.91 and 7,417.49

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Solution

The fourth proportional to 23,213.10, 34,817.91 and 7,417.49 is: 11,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.10 : 34,817.91 = 7,417.49 : x
  2. Step 2: Convert to fraction form
    23,213.10/34,817.91 = 7,417.49/x
  3. Step 3: Cross multiply
    23,213.10x = 34,817.91 × 7,417.49
  4. Step 4: Simplify right side
    23,213.10x = 258,261,499.25
  5. Step 5: Solve for x
    x = 258,261,499.25/23,213.10
  6. Step 6: Final answer
    x = 11,125.68

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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.