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Finding the Fourth Proportional to 14,473, 19,972.74 and 8,185.24

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Solution

The fourth proportional to 14,473, 19,972.74 and 8,185.24 is: 11,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473 : 19,972.74 = 8,185.24 : x
  2. Step 2: Convert to fraction form
    14,473/19,972.74 = 8,185.24/x
  3. Step 3: Cross multiply
    14,473x = 19,972.74 × 8,185.24
  4. Step 4: Simplify right side
    14,473x = 163,481,670.36
  5. Step 5: Solve for x
    x = 163,481,670.36/14,473
  6. Step 6: Final answer
    x = 11,295.63

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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.