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Finding the Fourth Proportional to 20,162.34, 30,223.80 and 9,071.82

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Solution

The fourth proportional to 20,162.34, 30,223.80 and 9,071.82 is: 13,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.34 : 30,223.80 = 9,071.82 : x
  2. Step 2: Convert to fraction form
    20,162.34/30,223.80 = 9,071.82/x
  3. Step 3: Cross multiply
    20,162.34x = 30,223.80 × 9,071.82
  4. Step 4: Simplify right side
    20,162.34x = 274,184,873.32
  5. Step 5: Solve for x
    x = 274,184,873.32/20,162.34
  6. Step 6: Final answer
    x = 13,598.86

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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.