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Finding the Fourth Proportional to 19,852.80, 29,778.16 and 8,756.48

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Solution

The fourth proportional to 19,852.80, 29,778.16 and 8,756.48 is: 13,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.80 : 29,778.16 = 8,756.48 : x
  2. Step 2: Convert to fraction form
    19,852.80/29,778.16 = 8,756.48/x
  3. Step 3: Cross multiply
    19,852.80x = 29,778.16 × 8,756.48
  4. Step 4: Simplify right side
    19,852.80x = 260,751,862.48
  5. Step 5: Solve for x
    x = 260,751,862.48/19,852.80
  6. Step 6: Final answer
    x = 13,134.26

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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.