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Finding the Fourth Proportional to 12,156.41, 16,776.05 and 6,851.31

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Solution

The fourth proportional to 12,156.41, 16,776.05 and 6,851.31 is: 9,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.41 : 16,776.05 = 6,851.31 : x
  2. Step 2: Convert to fraction form
    12,156.41/16,776.05 = 6,851.31/x
  3. Step 3: Cross multiply
    12,156.41x = 16,776.05 × 6,851.31
  4. Step 4: Simplify right side
    12,156.41x = 114,937,884.87
  5. Step 5: Solve for x
    x = 114,937,884.87/12,156.41
  6. Step 6: Final answer
    x = 9,454.92

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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.