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Finding the Fourth Proportional to 27,133.35, 40,707 and 10,489.05

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Solution

The fourth proportional to 27,133.35, 40,707 and 10,489.05 is: 15,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,133.35 : 40,707 = 10,489.05 : x
  2. Step 2: Convert to fraction form
    27,133.35/40,707 = 10,489.05/x
  3. Step 3: Cross multiply
    27,133.35x = 40,707 × 10,489.05
  4. Step 4: Simplify right side
    27,133.35x = 426,977,758.35
  5. Step 5: Solve for x
    x = 426,977,758.35/27,133.35
  6. Step 6: Final answer
    x = 15,736.27

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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.