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Finding the Fourth Proportional to 23,882.72, 35,848.26 and 9,851.13

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Solution

The fourth proportional to 23,882.72, 35,848.26 and 9,851.13 is: 14,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.72 : 35,848.26 = 9,851.13 : x
  2. Step 2: Convert to fraction form
    23,882.72/35,848.26 = 9,851.13/x
  3. Step 3: Cross multiply
    23,882.72x = 35,848.26 × 9,851.13
  4. Step 4: Simplify right side
    23,882.72x = 353,145,869.53
  5. Step 5: Solve for x
    x = 353,145,869.53/23,882.72
  6. Step 6: Final answer
    x = 14,786.67

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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.