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Finding the Fourth Proportional to 21,907.70, 32,866.35 and 7,114.10

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Solution

The fourth proportional to 21,907.70, 32,866.35 and 7,114.10 is: 10,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.70 : 32,866.35 = 7,114.10 : x
  2. Step 2: Convert to fraction form
    21,907.70/32,866.35 = 7,114.10/x
  3. Step 3: Cross multiply
    21,907.70x = 32,866.35 × 7,114.10
  4. Step 4: Simplify right side
    21,907.70x = 233,814,500.54
  5. Step 5: Solve for x
    x = 233,814,500.54/21,907.70
  6. Step 6: Final answer
    x = 10,672.71

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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.