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Finding the Fourth Proportional to 19,461.83, 29,190.01 and 6,314.32

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Solution

The fourth proportional to 19,461.83, 29,190.01 and 6,314.32 is: 9,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,461.83 : 29,190.01 = 6,314.32 : x
  2. Step 2: Convert to fraction form
    19,461.83/29,190.01 = 6,314.32/x
  3. Step 3: Cross multiply
    19,461.83x = 29,190.01 × 6,314.32
  4. Step 4: Simplify right side
    19,461.83x = 184,315,063.94
  5. Step 5: Solve for x
    x = 184,315,063.94/19,461.83
  6. Step 6: Final answer
    x = 9,470.59

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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.