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Finding the Fourth Proportional to 34,193.72, 51,292.74 and 14,469.68

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Solution

The fourth proportional to 34,193.72, 51,292.74 and 14,469.68 is: 21,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193.72 : 51,292.74 = 14,469.68 : x
  2. Step 2: Convert to fraction form
    34,193.72/51,292.74 = 14,469.68/x
  3. Step 3: Cross multiply
    34,193.72x = 51,292.74 × 14,469.68
  4. Step 4: Simplify right side
    34,193.72x = 742,189,534.12
  5. Step 5: Solve for x
    x = 742,189,534.12/34,193.72
  6. Step 6: Final answer
    x = 21,705.43

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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.