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Finding the Fourth Proportional to 12,254.58, 16,891.65 and 8,274.42

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Solution

The fourth proportional to 12,254.58, 16,891.65 and 8,274.42 is: 11,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.58 : 16,891.65 = 8,274.42 : x
  2. Step 2: Convert to fraction form
    12,254.58/16,891.65 = 8,274.42/x
  3. Step 3: Cross multiply
    12,254.58x = 16,891.65 × 8,274.42
  4. Step 4: Simplify right side
    12,254.58x = 139,768,606.59
  5. Step 5: Solve for x
    x = 139,768,606.59/12,254.58
  6. Step 6: Final answer
    x = 11,405.42

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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.