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Finding the Fourth Proportional to 20,902.70, 28,845.63 and 11,471.06

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Solution

The fourth proportional to 20,902.70, 28,845.63 and 11,471.06 is: 15,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.70 : 28,845.63 = 11,471.06 : x
  2. Step 2: Convert to fraction form
    20,902.70/28,845.63 = 11,471.06/x
  3. Step 3: Cross multiply
    20,902.70x = 28,845.63 × 11,471.06
  4. Step 4: Simplify right side
    20,902.70x = 330,889,808.24
  5. Step 5: Solve for x
    x = 330,889,808.24/20,902.70
  6. Step 6: Final answer
    x = 15,830.01

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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.