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Finding the Fourth Proportional to 27,333, 41,000.56 and 9,560.20

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Solution

The fourth proportional to 27,333, 41,000.56 and 9,560.20 is: 14,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,333 : 41,000.56 = 9,560.20 : x
  2. Step 2: Convert to fraction form
    27,333/41,000.56 = 9,560.20/x
  3. Step 3: Cross multiply
    27,333x = 41,000.56 × 9,560.20
  4. Step 4: Simplify right side
    27,333x = 391,973,553.71
  5. Step 5: Solve for x
    x = 391,973,553.71/27,333
  6. Step 6: Final answer
    x = 14,340.67

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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.