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Finding the Fourth Proportional to 25,498.89, 38,192.94 and 12,323.63

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Solution

The fourth proportional to 25,498.89, 38,192.94 and 12,323.63 is: 18,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,498.89 : 38,192.94 = 12,323.63 : x
  2. Step 2: Convert to fraction form
    25,498.89/38,192.94 = 12,323.63/x
  3. Step 3: Cross multiply
    25,498.89x = 38,192.94 × 12,323.63
  4. Step 4: Simplify right side
    25,498.89x = 470,675,470.21
  5. Step 5: Solve for x
    x = 470,675,470.21/25,498.89
  6. Step 6: Final answer
    x = 18,458.67

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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.