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Finding the Fourth Proportional to 23,353.23, 32,228.24 and 12,743.45

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Solution

The fourth proportional to 23,353.23, 32,228.24 and 12,743.45 is: 17,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.23 : 32,228.24 = 12,743.45 : x
  2. Step 2: Convert to fraction form
    23,353.23/32,228.24 = 12,743.45/x
  3. Step 3: Cross multiply
    23,353.23x = 32,228.24 × 12,743.45
  4. Step 4: Simplify right side
    23,353.23x = 410,698,740.17
  5. Step 5: Solve for x
    x = 410,698,740.17/23,353.23
  6. Step 6: Final answer
    x = 17,586.38

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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.