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Finding the Fourth Proportional to 21,912.50, 32,855.60 and 10,051.42

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Solution

The fourth proportional to 21,912.50, 32,855.60 and 10,051.42 is: 15,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912.50 : 32,855.60 = 10,051.42 : x
  2. Step 2: Convert to fraction form
    21,912.50/32,855.60 = 10,051.42/x
  3. Step 3: Cross multiply
    21,912.50x = 32,855.60 × 10,051.42
  4. Step 4: Simplify right side
    21,912.50x = 330,245,434.95
  5. Step 5: Solve for x
    x = 330,245,434.95/21,912.50
  6. Step 6: Final answer
    x = 15,071.10

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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.