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Finding the Fourth Proportional to 14,140.30, 21,213.51 and 5,375.38

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Solution

The fourth proportional to 14,140.30, 21,213.51 and 5,375.38 is: 8,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.30 : 21,213.51 = 5,375.38 : x
  2. Step 2: Convert to fraction form
    14,140.30/21,213.51 = 5,375.38/x
  3. Step 3: Cross multiply
    14,140.30x = 21,213.51 × 5,375.38
  4. Step 4: Simplify right side
    14,140.30x = 114,030,677.38
  5. Step 5: Solve for x
    x = 114,030,677.38/14,140.30
  6. Step 6: Final answer
    x = 8,064.23

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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.