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Finding the Fourth Proportional to 23,694.86, 32,696.64 and 14,137.67

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Solution

The fourth proportional to 23,694.86, 32,696.64 and 14,137.67 is: 19,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.86 : 32,696.64 = 14,137.67 : x
  2. Step 2: Convert to fraction form
    23,694.86/32,696.64 = 14,137.67/x
  3. Step 3: Cross multiply
    23,694.86x = 32,696.64 × 14,137.67
  4. Step 4: Simplify right side
    23,694.86x = 462,254,142.95
  5. Step 5: Solve for x
    x = 462,254,142.95/23,694.86
  6. Step 6: Final answer
    x = 19,508.63

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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.