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Finding the Fourth Proportional to 27,004, 40,504.28 and 10,133.68

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Solution

The fourth proportional to 27,004, 40,504.28 and 10,133.68 is: 15,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004 : 40,504.28 = 10,133.68 : x
  2. Step 2: Convert to fraction form
    27,004/40,504.28 = 10,133.68/x
  3. Step 3: Cross multiply
    27,004x = 40,504.28 × 10,133.68
  4. Step 4: Simplify right side
    27,004x = 410,457,412.15
  5. Step 5: Solve for x
    x = 410,457,412.15/27,004
  6. Step 6: Final answer
    x = 15,199.87

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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.