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Finding the Fourth Proportional to 23,667.20, 32,662.32 and 13,598.90

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Solution

The fourth proportional to 23,667.20, 32,662.32 and 13,598.90 is: 18,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667.20 : 32,662.32 = 13,598.90 : x
  2. Step 2: Convert to fraction form
    23,667.20/32,662.32 = 13,598.90/x
  3. Step 3: Cross multiply
    23,667.20x = 32,662.32 × 13,598.90
  4. Step 4: Simplify right side
    23,667.20x = 444,171,623.45
  5. Step 5: Solve for x
    x = 444,171,623.45/23,667.20
  6. Step 6: Final answer
    x = 18,767.39

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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.