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Finding the Fourth Proportional to 14,025.90, 19,355.18 and 7,738.14

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Solution

The fourth proportional to 14,025.90, 19,355.18 and 7,738.14 is: 10,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025.90 : 19,355.18 = 7,738.14 : x
  2. Step 2: Convert to fraction form
    14,025.90/19,355.18 = 7,738.14/x
  3. Step 3: Cross multiply
    14,025.90x = 19,355.18 × 7,738.14
  4. Step 4: Simplify right side
    14,025.90x = 149,773,053.87
  5. Step 5: Solve for x
    x = 149,773,053.87/14,025.90
  6. Step 6: Final answer
    x = 10,678.32

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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.