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Finding the Fourth Proportional to 14,362.05, 19,819.68 and 8,074.02

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Solution

The fourth proportional to 14,362.05, 19,819.68 and 8,074.02 is: 11,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.05 : 19,819.68 = 8,074.02 : x
  2. Step 2: Convert to fraction form
    14,362.05/19,819.68 = 8,074.02/x
  3. Step 3: Cross multiply
    14,362.05x = 19,819.68 × 8,074.02
  4. Step 4: Simplify right side
    14,362.05x = 160,024,492.71
  5. Step 5: Solve for x
    x = 160,024,492.71/14,362.05
  6. Step 6: Final answer
    x = 11,142.18

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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.