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Finding the Fourth Proportional to 14,141.73, 19,509.96 and 8,172.30

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Solution

The fourth proportional to 14,141.73, 19,509.96 and 8,172.30 is: 11,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.73 : 19,509.96 = 8,172.30 : x
  2. Step 2: Convert to fraction form
    14,141.73/19,509.96 = 8,172.30/x
  3. Step 3: Cross multiply
    14,141.73x = 19,509.96 × 8,172.30
  4. Step 4: Simplify right side
    14,141.73x = 159,441,246.11
  5. Step 5: Solve for x
    x = 159,441,246.11/14,141.73
  6. Step 6: Final answer
    x = 11,274.52

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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.