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Finding the Fourth Proportional to 14,025.68, 19,355.43 and 7,738.05

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Solution

The fourth proportional to 14,025.68, 19,355.43 and 7,738.05 is: 10,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025.68 : 19,355.43 = 7,738.05 : x
  2. Step 2: Convert to fraction form
    14,025.68/19,355.43 = 7,738.05/x
  3. Step 3: Cross multiply
    14,025.68x = 19,355.43 × 7,738.05
  4. Step 4: Simplify right side
    14,025.68x = 149,773,246.42
  5. Step 5: Solve for x
    x = 149,773,246.42/14,025.68
  6. Step 6: Final answer
    x = 10,678.51

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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.