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Finding the Fourth Proportional to 17,214.72, 25,821.44 and 10,652.16

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Solution

The fourth proportional to 17,214.72, 25,821.44 and 10,652.16 is: 15,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.72 : 25,821.44 = 10,652.16 : x
  2. Step 2: Convert to fraction form
    17,214.72/25,821.44 = 10,652.16/x
  3. Step 3: Cross multiply
    17,214.72x = 25,821.44 × 10,652.16
  4. Step 4: Simplify right side
    17,214.72x = 275,054,110.31
  5. Step 5: Solve for x
    x = 275,054,110.31/17,214.72
  6. Step 6: Final answer
    x = 15,977.84

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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.