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Finding the Fourth Proportional to 13,819.39, 19,073.84 and 8,782.63

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Solution

The fourth proportional to 13,819.39, 19,073.84 and 8,782.63 is: 12,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.39 : 19,073.84 = 8,782.63 : x
  2. Step 2: Convert to fraction form
    13,819.39/19,073.84 = 8,782.63/x
  3. Step 3: Cross multiply
    13,819.39x = 19,073.84 × 8,782.63
  4. Step 4: Simplify right side
    13,819.39x = 167,518,479.40
  5. Step 5: Solve for x
    x = 167,518,479.40/13,819.39
  6. Step 6: Final answer
    x = 12,121.99

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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.