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Finding the Fourth Proportional to 14,305.08, 21,453.64 and 7,972.17

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Solution

The fourth proportional to 14,305.08, 21,453.64 and 7,972.17 is: 11,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.08 : 21,453.64 = 7,972.17 : x
  2. Step 2: Convert to fraction form
    14,305.08/21,453.64 = 7,972.17/x
  3. Step 3: Cross multiply
    14,305.08x = 21,453.64 × 7,972.17
  4. Step 4: Simplify right side
    14,305.08x = 171,031,964.82
  5. Step 5: Solve for x
    x = 171,031,964.82/14,305.08
  6. Step 6: Final answer
    x = 11,956.03

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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.