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Finding the Fourth Proportional to 12,406.32, 17,134.74 and 8,420.52

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Solution

The fourth proportional to 12,406.32, 17,134.74 and 8,420.52 is: 11,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.32 : 17,134.74 = 8,420.52 : x
  2. Step 2: Convert to fraction form
    12,406.32/17,134.74 = 8,420.52/x
  3. Step 3: Cross multiply
    12,406.32x = 17,134.74 × 8,420.52
  4. Step 4: Simplify right side
    12,406.32x = 144,283,420.86
  5. Step 5: Solve for x
    x = 144,283,420.86/12,406.32
  6. Step 6: Final answer
    x = 11,629.83

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