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Finding the Fourth Proportional to 14,114.58, 19,477.96 and 8,146.12

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Solution

The fourth proportional to 14,114.58, 19,477.96 and 8,146.12 is: 11,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.58 : 19,477.96 = 8,146.12 : x
  2. Step 2: Convert to fraction form
    14,114.58/19,477.96 = 8,146.12/x
  3. Step 3: Cross multiply
    14,114.58x = 19,477.96 × 8,146.12
  4. Step 4: Simplify right side
    14,114.58x = 158,669,799.52
  5. Step 5: Solve for x
    x = 158,669,799.52/14,114.58
  6. Step 6: Final answer
    x = 11,241.55

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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.