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Finding the Fourth Proportional to 21,376.89, 32,071.28 and 8,902.80

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Solution

The fourth proportional to 21,376.89, 32,071.28 and 8,902.80 is: 13,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,376.89 : 32,071.28 = 8,902.80 : x
  2. Step 2: Convert to fraction form
    21,376.89/32,071.28 = 8,902.80/x
  3. Step 3: Cross multiply
    21,376.89x = 32,071.28 × 8,902.80
  4. Step 4: Simplify right side
    21,376.89x = 285,524,147.07
  5. Step 5: Solve for x
    x = 285,524,147.07/21,376.89
  6. Step 6: Final answer
    x = 13,356.67

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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.