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Finding the Fourth Proportional to 34,015.08, 51,003 and 13,214.28

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Solution

The fourth proportional to 34,015.08, 51,003 and 13,214.28 is: 19,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,015.08 : 51,003 = 13,214.28 : x
  2. Step 2: Convert to fraction form
    34,015.08/51,003 = 13,214.28/x
  3. Step 3: Cross multiply
    34,015.08x = 51,003 × 13,214.28
  4. Step 4: Simplify right side
    34,015.08x = 673,967,922.84
  5. Step 5: Solve for x
    x = 673,967,922.84/34,015.08
  6. Step 6: Final answer
    x = 19,813.80

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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.