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Finding the Fourth Proportional to 12,762.42, 19,142.60 and 8,068.74

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Solution

The fourth proportional to 12,762.42, 19,142.60 and 8,068.74 is: 12,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.42 : 19,142.60 = 8,068.74 : x
  2. Step 2: Convert to fraction form
    12,762.42/19,142.60 = 8,068.74/x
  3. Step 3: Cross multiply
    12,762.42x = 19,142.60 × 8,068.74
  4. Step 4: Simplify right side
    12,762.42x = 154,456,621.98
  5. Step 5: Solve for x
    x = 154,456,621.98/12,762.42
  6. Step 6: Final answer
    x = 12,102.46

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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.