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Finding the Fourth Proportional to 12,406.56, 17,113.86 and 8,158.38

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Solution

The fourth proportional to 12,406.56, 17,113.86 and 8,158.38 is: 11,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.56 : 17,113.86 = 8,158.38 : x
  2. Step 2: Convert to fraction form
    12,406.56/17,113.86 = 8,158.38/x
  3. Step 3: Cross multiply
    12,406.56x = 17,113.86 × 8,158.38
  4. Step 4: Simplify right side
    12,406.56x = 139,621,373.15
  5. Step 5: Solve for x
    x = 139,621,373.15/12,406.56
  6. Step 6: Final answer
    x = 11,253.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.