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Finding the Fourth Proportional to 14,287.53, 21,431.04 and 3,899.28

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Solution

The fourth proportional to 14,287.53, 21,431.04 and 3,899.28 is: 5,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.53 : 21,431.04 = 3,899.28 : x
  2. Step 2: Convert to fraction form
    14,287.53/21,431.04 = 3,899.28/x
  3. Step 3: Cross multiply
    14,287.53x = 21,431.04 × 3,899.28
  4. Step 4: Simplify right side
    14,287.53x = 83,565,625.65
  5. Step 5: Solve for x
    x = 83,565,625.65/14,287.53
  6. Step 6: Final answer
    x = 5,848.85

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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.