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Finding the Fourth Proportional to 19,556.16, 29,331.84 and 5,705.16

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Solution

The fourth proportional to 19,556.16, 29,331.84 and 5,705.16 is: 8,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,556.16 : 29,331.84 = 5,705.16 : x
  2. Step 2: Convert to fraction form
    19,556.16/29,331.84 = 5,705.16/x
  3. Step 3: Cross multiply
    19,556.16x = 29,331.84 × 5,705.16
  4. Step 4: Simplify right side
    19,556.16x = 167,342,840.29
  5. Step 5: Solve for x
    x = 167,342,840.29/19,556.16
  6. Step 6: Final answer
    x = 8,557.04

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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.