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Finding the Fourth Proportional to 12,276.87, 16,942.20 and 6,971.81

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Solution

The fourth proportional to 12,276.87, 16,942.20 and 6,971.81 is: 9,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.87 : 16,942.20 = 6,971.81 : x
  2. Step 2: Convert to fraction form
    12,276.87/16,942.20 = 6,971.81/x
  3. Step 3: Cross multiply
    12,276.87x = 16,942.20 × 6,971.81
  4. Step 4: Simplify right side
    12,276.87x = 118,117,714.67
  5. Step 5: Solve for x
    x = 118,117,714.67/12,276.87
  6. Step 6: Final answer
    x = 9,621.16

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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.