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Finding the Fourth Proportional to 23,685.16, 32,697.33 and 14,735.54

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Solution

The fourth proportional to 23,685.16, 32,697.33 and 14,735.54 is: 20,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.16 : 32,697.33 = 14,735.54 : x
  2. Step 2: Convert to fraction form
    23,685.16/32,697.33 = 14,735.54/x
  3. Step 3: Cross multiply
    23,685.16x = 32,697.33 × 14,735.54
  4. Step 4: Simplify right side
    23,685.16x = 481,812,814.11
  5. Step 5: Solve for x
    x = 481,812,814.11/23,685.16
  6. Step 6: Final answer
    x = 20,342.39

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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.