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Finding the Fourth Proportional to 14,242.24, 21,363.12 and 5,008

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Solution

The fourth proportional to 14,242.24, 21,363.12 and 5,008 is: 7,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.24 : 21,363.12 = 5,008 : x
  2. Step 2: Convert to fraction form
    14,242.24/21,363.12 = 5,008/x
  3. Step 3: Cross multiply
    14,242.24x = 21,363.12 × 5,008
  4. Step 4: Simplify right side
    14,242.24x = 106,986,504.96
  5. Step 5: Solve for x
    x = 106,986,504.96/14,242.24
  6. Step 6: Final answer
    x = 7,511.92

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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.