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Finding the Fourth Proportional to 16,324.31, 22,532.64 and 9,609.41

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Solution

The fourth proportional to 16,324.31, 22,532.64 and 9,609.41 is: 13,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.31 : 22,532.64 = 9,609.41 : x
  2. Step 2: Convert to fraction form
    16,324.31/22,532.64 = 9,609.41/x
  3. Step 3: Cross multiply
    16,324.31x = 22,532.64 × 9,609.41
  4. Step 4: Simplify right side
    16,324.31x = 216,525,376.14
  5. Step 5: Solve for x
    x = 216,525,376.14/16,324.31
  6. Step 6: Final answer
    x = 13,263.98

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1.5x scale

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.