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Finding the Fourth Proportional to 20,165.34, 30,228.30 and 9,074.82

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Solution

The fourth proportional to 20,165.34, 30,228.30 and 9,074.82 is: 13,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.34 : 30,228.30 = 9,074.82 : x
  2. Step 2: Convert to fraction form
    20,165.34/30,228.30 = 9,074.82/x
  3. Step 3: Cross multiply
    20,165.34x = 30,228.30 × 9,074.82
  4. Step 4: Simplify right side
    20,165.34x = 274,316,381.41
  5. Step 5: Solve for x
    x = 274,316,381.41/20,165.34
  6. Step 6: Final answer
    x = 13,603.36

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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.