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Finding the Fourth Proportional to 14,130.57, 21,202.74 and 5,813.10

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Solution

The fourth proportional to 14,130.57, 21,202.74 and 5,813.10 is: 8,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.57 : 21,202.74 = 5,813.10 : x
  2. Step 2: Convert to fraction form
    14,130.57/21,202.74 = 5,813.10/x
  3. Step 3: Cross multiply
    14,130.57x = 21,202.74 × 5,813.10
  4. Step 4: Simplify right side
    14,130.57x = 123,253,647.89
  5. Step 5: Solve for x
    x = 123,253,647.89/14,130.57
  6. Step 6: Final answer
    x = 8,722.48

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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.