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Finding the Fourth Proportional to 16,527.54, 22,816.89 and 12,742.41

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Solution

The fourth proportional to 16,527.54, 22,816.89 and 12,742.41 is: 17,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.54 : 22,816.89 = 12,742.41 : x
  2. Step 2: Convert to fraction form
    16,527.54/22,816.89 = 12,742.41/x
  3. Step 3: Cross multiply
    16,527.54x = 22,816.89 × 12,742.41
  4. Step 4: Simplify right side
    16,527.54x = 290,742,167.30
  5. Step 5: Solve for x
    x = 290,742,167.30/16,527.54
  6. Step 6: Final answer
    x = 17,591.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.