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Finding the Fourth Proportional to 12,048.36, 18,070.83 and 4,656.30

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Solution

The fourth proportional to 12,048.36, 18,070.83 and 4,656.30 is: 6,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.36 : 18,070.83 = 4,656.30 : x
  2. Step 2: Convert to fraction form
    12,048.36/18,070.83 = 4,656.30/x
  3. Step 3: Cross multiply
    12,048.36x = 18,070.83 × 4,656.30
  4. Step 4: Simplify right side
    12,048.36x = 84,143,205.73
  5. Step 5: Solve for x
    x = 84,143,205.73/12,048.36
  6. Step 6: Final answer
    x = 6,983.79

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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.