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Finding the Fourth Proportional to 34,709.36, 52,066.32 and 13,930.16

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Solution

The fourth proportional to 34,709.36, 52,066.32 and 13,930.16 is: 20,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,709.36 : 52,066.32 = 13,930.16 : x
  2. Step 2: Convert to fraction form
    34,709.36/52,066.32 = 13,930.16/x
  3. Step 3: Cross multiply
    34,709.36x = 52,066.32 × 13,930.16
  4. Step 4: Simplify right side
    34,709.36x = 725,292,168.21
  5. Step 5: Solve for x
    x = 725,292,168.21/34,709.36
  6. Step 6: Final answer
    x = 20,896.16

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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.