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Finding the Fourth Proportional to 19,852.63, 29,778.12 and 5,061.91

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Solution

The fourth proportional to 19,852.63, 29,778.12 and 5,061.91 is: 7,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.63 : 29,778.12 = 5,061.91 : x
  2. Step 2: Convert to fraction form
    19,852.63/29,778.12 = 5,061.91/x
  3. Step 3: Cross multiply
    19,852.63x = 29,778.12 × 5,061.91
  4. Step 4: Simplify right side
    19,852.63x = 150,734,163.41
  5. Step 5: Solve for x
    x = 150,734,163.41/19,852.63
  6. Step 6: Final answer
    x = 7,592.65

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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.