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Finding the Fourth Proportional to 19,871.56, 29,808.32 and 11,099.80

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Solution

The fourth proportional to 19,871.56, 29,808.32 and 11,099.80 is: 16,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.56 : 29,808.32 = 11,099.80 : x
  2. Step 2: Convert to fraction form
    19,871.56/29,808.32 = 11,099.80/x
  3. Step 3: Cross multiply
    19,871.56x = 29,808.32 × 11,099.80
  4. Step 4: Simplify right side
    19,871.56x = 330,866,390.34
  5. Step 5: Solve for x
    x = 330,866,390.34/19,871.56
  6. Step 6: Final answer
    x = 16,650.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.