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Finding the Fourth Proportional to 14,271.82, 21,383.12 and 9,460.31

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Solution

The fourth proportional to 14,271.82, 21,383.12 and 9,460.31 is: 14,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.82 : 21,383.12 = 9,460.31 : x
  2. Step 2: Convert to fraction form
    14,271.82/21,383.12 = 9,460.31/x
  3. Step 3: Cross multiply
    14,271.82x = 21,383.12 × 9,460.31
  4. Step 4: Simplify right side
    14,271.82x = 202,290,789.75
  5. Step 5: Solve for x
    x = 202,290,789.75/14,271.82
  6. Step 6: Final answer
    x = 14,174.14

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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.