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Finding the Fourth Proportional to 34,993.38, 52,511.31 and 14,216.34

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Solution

The fourth proportional to 34,993.38, 52,511.31 and 14,216.34 is: 21,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,993.38 : 52,511.31 = 14,216.34 : x
  2. Step 2: Convert to fraction form
    34,993.38/52,511.31 = 14,216.34/x
  3. Step 3: Cross multiply
    34,993.38x = 52,511.31 × 14,216.34
  4. Step 4: Simplify right side
    34,993.38x = 746,518,636.81
  5. Step 5: Solve for x
    x = 746,518,636.81/34,993.38
  6. Step 6: Final answer
    x = 21,333.14

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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.