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Finding the Fourth Proportional to 23,908, 32,993.04 and 13,972

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Solution

The fourth proportional to 23,908, 32,993.04 and 13,972 is: 19,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,908 : 32,993.04 = 13,972 : x
  2. Step 2: Convert to fraction form
    23,908/32,993.04 = 13,972/x
  3. Step 3: Cross multiply
    23,908x = 32,993.04 × 13,972
  4. Step 4: Simplify right side
    23,908x = 460,978,754.88
  5. Step 5: Solve for x
    x = 460,978,754.88/23,908
  6. Step 6: Final answer
    x = 19,281.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.