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Finding the Fourth Proportional to 14,025.84, 19,356.75 and 7,739.34

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Solution

The fourth proportional to 14,025.84, 19,356.75 and 7,739.34 is: 10,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025.84 : 19,356.75 = 7,739.34 : x
  2. Step 2: Convert to fraction form
    14,025.84/19,356.75 = 7,739.34/x
  3. Step 3: Cross multiply
    14,025.84x = 19,356.75 × 7,739.34
  4. Step 4: Simplify right side
    14,025.84x = 149,808,469.55
  5. Step 5: Solve for x
    x = 149,808,469.55/14,025.84
  6. Step 6: Final answer
    x = 10,680.89

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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.