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Finding the Fourth Proportional to 14,104.92, 19,463.74 and 7,730.49

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Solution

The fourth proportional to 14,104.92, 19,463.74 and 7,730.49 is: 10,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.92 : 19,463.74 = 7,730.49 : x
  2. Step 2: Convert to fraction form
    14,104.92/19,463.74 = 7,730.49/x
  3. Step 3: Cross multiply
    14,104.92x = 19,463.74 × 7,730.49
  4. Step 4: Simplify right side
    14,104.92x = 150,464,247.43
  5. Step 5: Solve for x
    x = 150,464,247.43/14,104.92
  6. Step 6: Final answer
    x = 10,667.50

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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.