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Finding the Fourth Proportional to 17,236.10, 25,849.16 and 7,871.15

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Solution

The fourth proportional to 17,236.10, 25,849.16 and 7,871.15 is: 11,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,236.10 : 25,849.16 = 7,871.15 : x
  2. Step 2: Convert to fraction form
    17,236.10/25,849.16 = 7,871.15/x
  3. Step 3: Cross multiply
    17,236.10x = 25,849.16 × 7,871.15
  4. Step 4: Simplify right side
    17,236.10x = 203,462,670.52
  5. Step 5: Solve for x
    x = 203,462,670.52/17,236.10
  6. Step 6: Final answer
    x = 11,804.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.