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Finding the Fourth Proportional to 12,686.79, 19,013.97 and 6,023.28

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Solution

The fourth proportional to 12,686.79, 19,013.97 and 6,023.28 is: 9,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.79 : 19,013.97 = 6,023.28 : x
  2. Step 2: Convert to fraction form
    12,686.79/19,013.97 = 6,023.28/x
  3. Step 3: Cross multiply
    12,686.79x = 19,013.97 × 6,023.28
  4. Step 4: Simplify right side
    12,686.79x = 114,526,465.22
  5. Step 5: Solve for x
    x = 114,526,465.22/12,686.79
  6. Step 6: Final answer
    x = 9,027.22

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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.