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Finding the Fourth Proportional to 14,138.49, 21,215.02 and 5,824.65

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Solution

The fourth proportional to 14,138.49, 21,215.02 and 5,824.65 is: 8,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.49 : 21,215.02 = 5,824.65 : x
  2. Step 2: Convert to fraction form
    14,138.49/21,215.02 = 5,824.65/x
  3. Step 3: Cross multiply
    14,138.49x = 21,215.02 × 5,824.65
  4. Step 4: Simplify right side
    14,138.49x = 123,570,066.24
  5. Step 5: Solve for x
    x = 123,570,066.24/14,138.49
  6. Step 6: Final answer
    x = 8,739.98

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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.