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Finding the Fourth Proportional to 19,977.36, 29,965.32 and 6,126

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Solution

The fourth proportional to 19,977.36, 29,965.32 and 6,126 is: 9,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.36 : 29,965.32 = 6,126 : x
  2. Step 2: Convert to fraction form
    19,977.36/29,965.32 = 6,126/x
  3. Step 3: Cross multiply
    19,977.36x = 29,965.32 × 6,126
  4. Step 4: Simplify right side
    19,977.36x = 183,567,550.32
  5. Step 5: Solve for x
    x = 183,567,550.32/19,977.36
  6. Step 6: Final answer
    x = 9,188.78

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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.