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Finding the Fourth Proportional to 14,201.92, 19,597.04 and 8,232.36

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Solution

The fourth proportional to 14,201.92, 19,597.04 and 8,232.36 is: 11,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.92 : 19,597.04 = 8,232.36 : x
  2. Step 2: Convert to fraction form
    14,201.92/19,597.04 = 8,232.36/x
  3. Step 3: Cross multiply
    14,201.92x = 19,597.04 × 8,232.36
  4. Step 4: Simplify right side
    14,201.92x = 161,329,888.21
  5. Step 5: Solve for x
    x = 161,329,888.21/14,201.92
  6. Step 6: Final answer
    x = 11,359.72

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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.