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Finding the Fourth Proportional to 27,443.34, 41,165.10 and 6,666.84

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Solution

The fourth proportional to 27,443.34, 41,165.10 and 6,666.84 is: 10,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,443.34 : 41,165.10 = 6,666.84 : x
  2. Step 2: Convert to fraction form
    27,443.34/41,165.10 = 6,666.84/x
  3. Step 3: Cross multiply
    27,443.34x = 41,165.10 × 6,666.84
  4. Step 4: Simplify right side
    27,443.34x = 274,441,135.28
  5. Step 5: Solve for x
    x = 274,441,135.28/27,443.34
  6. Step 6: Final answer
    x = 10,000.28

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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.