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Finding the Fourth Proportional to 12,670.55, 17,485.84 and 8,414.24

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Solution

The fourth proportional to 12,670.55, 17,485.84 and 8,414.24 is: 11,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.55 : 17,485.84 = 8,414.24 : x
  2. Step 2: Convert to fraction form
    12,670.55/17,485.84 = 8,414.24/x
  3. Step 3: Cross multiply
    12,670.55x = 17,485.84 × 8,414.24
  4. Step 4: Simplify right side
    12,670.55x = 147,130,077.04
  5. Step 5: Solve for x
    x = 147,130,077.04/12,670.55
  6. Step 6: Final answer
    x = 11,611.98

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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.