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Finding the Fourth Proportional to 27,004.72, 40,503.84 and 7,281.76

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Solution

The fourth proportional to 27,004.72, 40,503.84 and 7,281.76 is: 10,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004.72 : 40,503.84 = 7,281.76 : x
  2. Step 2: Convert to fraction form
    27,004.72/40,503.84 = 7,281.76/x
  3. Step 3: Cross multiply
    27,004.72x = 40,503.84 × 7,281.76
  4. Step 4: Simplify right side
    27,004.72x = 294,939,241.96
  5. Step 5: Solve for x
    x = 294,939,241.96/27,004.72
  6. Step 6: Final answer
    x = 10,921.77

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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.