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Finding the Fourth Proportional to 12,379.83, 18,572.82 and 6,142.77

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Solution

The fourth proportional to 12,379.83, 18,572.82 and 6,142.77 is: 9,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,379.83 : 18,572.82 = 6,142.77 : x
  2. Step 2: Convert to fraction form
    12,379.83/18,572.82 = 6,142.77/x
  3. Step 3: Cross multiply
    12,379.83x = 18,572.82 × 6,142.77
  4. Step 4: Simplify right side
    12,379.83x = 114,088,561.51
  5. Step 5: Solve for x
    x = 114,088,561.51/12,379.83
  6. Step 6: Final answer
    x = 9,215.68

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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.