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Finding the Fourth Proportional to 27,271.42, 40,902.56 and 7,551.96

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Solution

The fourth proportional to 27,271.42, 40,902.56 and 7,551.96 is: 11,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,271.42 : 40,902.56 = 7,551.96 : x
  2. Step 2: Convert to fraction form
    27,271.42/40,902.56 = 7,551.96/x
  3. Step 3: Cross multiply
    27,271.42x = 40,902.56 × 7,551.96
  4. Step 4: Simplify right side
    27,271.42x = 308,894,497.02
  5. Step 5: Solve for x
    x = 308,894,497.02/27,271.42
  6. Step 6: Final answer
    x = 11,326.67

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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.