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Finding the Fourth Proportional to 12,276.21, 16,941.65 and 6,971.52

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Solution

The fourth proportional to 12,276.21, 16,941.65 and 6,971.52 is: 9,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.21 : 16,941.65 = 6,971.52 : x
  2. Step 2: Convert to fraction form
    12,276.21/16,941.65 = 6,971.52/x
  3. Step 3: Cross multiply
    12,276.21x = 16,941.65 × 6,971.52
  4. Step 4: Simplify right side
    12,276.21x = 118,108,967.10
  5. Step 5: Solve for x
    x = 118,108,967.10/12,276.21
  6. Step 6: Final answer
    x = 9,620.97

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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.