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Finding the Fourth Proportional to 29,778.63, 41,099.57 and 17,210.67

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Solution

The fourth proportional to 29,778.63, 41,099.57 and 17,210.67 is: 23,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,778.63 : 41,099.57 = 17,210.67 : x
  2. Step 2: Convert to fraction form
    29,778.63/41,099.57 = 17,210.67/x
  3. Step 3: Cross multiply
    29,778.63x = 41,099.57 × 17,210.67
  4. Step 4: Simplify right side
    29,778.63x = 707,351,136.41
  5. Step 5: Solve for x
    x = 707,351,136.41/29,778.63
  6. Step 6: Final answer
    x = 23,753.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.