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Finding the Fourth Proportional to 20,094.02, 27,730.43 and 11,141

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Solution

The fourth proportional to 20,094.02, 27,730.43 and 11,141 is: 15,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.02 : 27,730.43 = 11,141 : x
  2. Step 2: Convert to fraction form
    20,094.02/27,730.43 = 11,141/x
  3. Step 3: Cross multiply
    20,094.02x = 27,730.43 × 11,141
  4. Step 4: Simplify right side
    20,094.02x = 308,944,720.63
  5. Step 5: Solve for x
    x = 308,944,720.63/20,094.02
  6. Step 6: Final answer
    x = 15,374.96

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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.