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Finding the Fourth Proportional to 12,017.57, 16,577.46 and 8,474.63

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Solution

The fourth proportional to 12,017.57, 16,577.46 and 8,474.63 is: 11,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.57 : 16,577.46 = 8,474.63 : x
  2. Step 2: Convert to fraction form
    12,017.57/16,577.46 = 8,474.63/x
  3. Step 3: Cross multiply
    12,017.57x = 16,577.46 × 8,474.63
  4. Step 4: Simplify right side
    12,017.57x = 140,487,756.95
  5. Step 5: Solve for x
    x = 140,487,756.95/12,017.57
  6. Step 6: Final answer
    x = 11,690.20

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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.