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Finding the Fourth Proportional to 29,674.29, 44,511.87 and 9,683.67

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Solution

The fourth proportional to 29,674.29, 44,511.87 and 9,683.67 is: 14,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,674.29 : 44,511.87 = 9,683.67 : x
  2. Step 2: Convert to fraction form
    29,674.29/44,511.87 = 9,683.67/x
  3. Step 3: Cross multiply
    29,674.29x = 44,511.87 × 9,683.67
  4. Step 4: Simplify right side
    29,674.29x = 431,038,260.16
  5. Step 5: Solve for x
    x = 431,038,260.16/29,674.29
  6. Step 6: Final answer
    x = 14,525.65

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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.