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Finding the Fourth Proportional to 14,289.76, 19,725.04 and 11,632.56

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Solution

The fourth proportional to 14,289.76, 19,725.04 and 11,632.56 is: 16,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.76 : 19,725.04 = 11,632.56 : x
  2. Step 2: Convert to fraction form
    14,289.76/19,725.04 = 11,632.56/x
  3. Step 3: Cross multiply
    14,289.76x = 19,725.04 × 11,632.56
  4. Step 4: Simplify right side
    14,289.76x = 229,452,612.68
  5. Step 5: Solve for x
    x = 229,452,612.68/14,289.76
  6. Step 6: Final answer
    x = 16,057.14

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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.