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Finding the Fourth Proportional to 14,160, 21,233.30 and 4,297.24

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Solution

The fourth proportional to 14,160, 21,233.30 and 4,297.24 is: 6,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160 : 21,233.30 = 4,297.24 : x
  2. Step 2: Convert to fraction form
    14,160/21,233.30 = 4,297.24/x
  3. Step 3: Cross multiply
    14,160x = 21,233.30 × 4,297.24
  4. Step 4: Simplify right side
    14,160x = 91,244,586.09
  5. Step 5: Solve for x
    x = 91,244,586.09/14,160
  6. Step 6: Final answer
    x = 6,443.83

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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.