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Finding the Fourth Proportional to 14,025.34, 19,356.06 and 7,738.84

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Solution

The fourth proportional to 14,025.34, 19,356.06 and 7,738.84 is: 10,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025.34 : 19,356.06 = 7,738.84 : x
  2. Step 2: Convert to fraction form
    14,025.34/19,356.06 = 7,738.84/x
  3. Step 3: Cross multiply
    14,025.34x = 19,356.06 × 7,738.84
  4. Step 4: Simplify right side
    14,025.34x = 149,793,451.37
  5. Step 5: Solve for x
    x = 149,793,451.37/14,025.34
  6. Step 6: Final answer
    x = 10,680.20

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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.