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Finding the Fourth Proportional to 12,742.80, 19,114.92 and 4,419.24

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Solution

The fourth proportional to 12,742.80, 19,114.92 and 4,419.24 is: 6,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.80 : 19,114.92 = 4,419.24 : x
  2. Step 2: Convert to fraction form
    12,742.80/19,114.92 = 4,419.24/x
  3. Step 3: Cross multiply
    12,742.80x = 19,114.92 × 4,419.24
  4. Step 4: Simplify right side
    12,742.80x = 84,473,419.06
  5. Step 5: Solve for x
    x = 84,473,419.06/12,742.80
  6. Step 6: Final answer
    x = 6,629.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.