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Finding the Fourth Proportional to 30,262.88, 45,401.60 and 9,486.38

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Solution

The fourth proportional to 30,262.88, 45,401.60 and 9,486.38 is: 14,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,262.88 : 45,401.60 = 9,486.38 : x
  2. Step 2: Convert to fraction form
    30,262.88/45,401.60 = 9,486.38/x
  3. Step 3: Cross multiply
    30,262.88x = 45,401.60 × 9,486.38
  4. Step 4: Simplify right side
    30,262.88x = 430,696,626.92
  5. Step 5: Solve for x
    x = 430,696,626.92/30,262.88
  6. Step 6: Final answer
    x = 14,231.85

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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.