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Finding the Fourth Proportional to 14,473.14, 19,973.52 and 8,185.50

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Solution

The fourth proportional to 14,473.14, 19,973.52 and 8,185.50 is: 11,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.14 : 19,973.52 = 8,185.50 : x
  2. Step 2: Convert to fraction form
    14,473.14/19,973.52 = 8,185.50/x
  3. Step 3: Cross multiply
    14,473.14x = 19,973.52 × 8,185.50
  4. Step 4: Simplify right side
    14,473.14x = 163,493,247.96
  5. Step 5: Solve for x
    x = 163,493,247.96/14,473.14
  6. Step 6: Final answer
    x = 11,296.32

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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.