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Finding the Fourth Proportional to 13,730.32, 18,946.44 and 8,425.36

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Solution

The fourth proportional to 13,730.32, 18,946.44 and 8,425.36 is: 11,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.32 : 18,946.44 = 8,425.36 : x
  2. Step 2: Convert to fraction form
    13,730.32/18,946.44 = 8,425.36/x
  3. Step 3: Cross multiply
    13,730.32x = 18,946.44 × 8,425.36
  4. Step 4: Simplify right side
    13,730.32x = 159,630,577.72
  5. Step 5: Solve for x
    x = 159,630,577.72/13,730.32
  6. Step 6: Final answer
    x = 11,626.14

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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.