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Finding the Fourth Proportional to 15,846.98, 23,770.40 and 6,491.34

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Solution

The fourth proportional to 15,846.98, 23,770.40 and 6,491.34 is: 9,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.98 : 23,770.40 = 6,491.34 : x
  2. Step 2: Convert to fraction form
    15,846.98/23,770.40 = 6,491.34/x
  3. Step 3: Cross multiply
    15,846.98x = 23,770.40 × 6,491.34
  4. Step 4: Simplify right side
    15,846.98x = 154,301,715.88
  5. Step 5: Solve for x
    x = 154,301,715.88/15,846.98
  6. Step 6: Final answer
    x = 9,736.98

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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.