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Finding the Fourth Proportional to 12,782.68, 19,172.76 and 4,017.36

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Solution

The fourth proportional to 12,782.68, 19,172.76 and 4,017.36 is: 6,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.68 : 19,172.76 = 4,017.36 : x
  2. Step 2: Convert to fraction form
    12,782.68/19,172.76 = 4,017.36/x
  3. Step 3: Cross multiply
    12,782.68x = 19,172.76 × 4,017.36
  4. Step 4: Simplify right side
    12,782.68x = 77,023,879.11
  5. Step 5: Solve for x
    x = 77,023,879.11/12,782.68
  6. Step 6: Final answer
    x = 6,025.64

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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.