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Finding the Fourth Proportional to 12,276.59, 16,941.73 and 6,971.06

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Solution

The fourth proportional to 12,276.59, 16,941.73 and 6,971.06 is: 9,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.59 : 16,941.73 = 6,971.06 : x
  2. Step 2: Convert to fraction form
    12,276.59/16,941.73 = 6,971.06/x
  3. Step 3: Cross multiply
    12,276.59x = 16,941.73 × 6,971.06
  4. Step 4: Simplify right side
    12,276.59x = 118,101,873.94
  5. Step 5: Solve for x
    x = 118,101,873.94/12,276.59
  6. Step 6: Final answer
    x = 9,620.09

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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.