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Finding the Fourth Proportional to 13,588.52, 20,358.94 and 9,672.52

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Solution

The fourth proportional to 13,588.52, 20,358.94 and 9,672.52 is: 14,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.52 : 20,358.94 = 9,672.52 : x
  2. Step 2: Convert to fraction form
    13,588.52/20,358.94 = 9,672.52/x
  3. Step 3: Cross multiply
    13,588.52x = 20,358.94 × 9,672.52
  4. Step 4: Simplify right side
    13,588.52x = 196,922,254.33
  5. Step 5: Solve for x
    x = 196,922,254.33/13,588.52
  6. Step 6: Final answer
    x = 14,491.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.