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Finding the Fourth Proportional to 21,853.50, 32,779.80 and 7,074.60

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Solution

The fourth proportional to 21,853.50, 32,779.80 and 7,074.60 is: 10,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.50 : 32,779.80 = 7,074.60 : x
  2. Step 2: Convert to fraction form
    21,853.50/32,779.80 = 7,074.60/x
  3. Step 3: Cross multiply
    21,853.50x = 32,779.80 × 7,074.60
  4. Step 4: Simplify right side
    21,853.50x = 231,903,973.08
  5. Step 5: Solve for x
    x = 231,903,973.08/21,853.50
  6. Step 6: Final answer
    x = 10,611.75

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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.