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Finding the Fourth Proportional to 12,095, 18,135.46 and 4,690.80

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Solution

The fourth proportional to 12,095, 18,135.46 and 4,690.80 is: 7,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095 : 18,135.46 = 4,690.80 : x
  2. Step 2: Convert to fraction form
    12,095/18,135.46 = 4,690.80/x
  3. Step 3: Cross multiply
    12,095x = 18,135.46 × 4,690.80
  4. Step 4: Simplify right side
    12,095x = 85,069,815.77
  5. Step 5: Solve for x
    x = 85,069,815.77/12,095
  6. Step 6: Final answer
    x = 7,033.47

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