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Finding the Fourth Proportional to 14,109.92, 19,470.64 and 7,735.50

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Solution

The fourth proportional to 14,109.92, 19,470.64 and 7,735.50 is: 10,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.92 : 19,470.64 = 7,735.50 : x
  2. Step 2: Convert to fraction form
    14,109.92/19,470.64 = 7,735.50/x
  3. Step 3: Cross multiply
    14,109.92x = 19,470.64 × 7,735.50
  4. Step 4: Simplify right side
    14,109.92x = 150,615,135.72
  5. Step 5: Solve for x
    x = 150,615,135.72/14,109.92
  6. Step 6: Final answer
    x = 10,674.41

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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.