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Finding the Fourth Proportional to 13,946.08, 20,929.20 and 8,094.88

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Solution

The fourth proportional to 13,946.08, 20,929.20 and 8,094.88 is: 12,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.08 : 20,929.20 = 8,094.88 : x
  2. Step 2: Convert to fraction form
    13,946.08/20,929.20 = 8,094.88/x
  3. Step 3: Cross multiply
    13,946.08x = 20,929.20 × 8,094.88
  4. Step 4: Simplify right side
    13,946.08x = 169,419,362.50
  5. Step 5: Solve for x
    x = 169,419,362.50/13,946.08
  6. Step 6: Final answer
    x = 12,148.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.