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Finding the Fourth Proportional to 23,423.38, 32,324.37 and 12,812.99

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Solution

The fourth proportional to 23,423.38, 32,324.37 and 12,812.99 is: 17,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,423.38 : 32,324.37 = 12,812.99 : x
  2. Step 2: Convert to fraction form
    23,423.38/32,324.37 = 12,812.99/x
  3. Step 3: Cross multiply
    23,423.38x = 32,324.37 × 12,812.99
  4. Step 4: Simplify right side
    23,423.38x = 414,171,619.90
  5. Step 5: Solve for x
    x = 414,171,619.90/23,423.38
  6. Step 6: Final answer
    x = 17,681.98

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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.