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Finding the Fourth Proportional to 15,667.54, 21,623.97 and 9,297.65

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Solution

The fourth proportional to 15,667.54, 21,623.97 and 9,297.65 is: 12,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,667.54 : 21,623.97 = 9,297.65 : x
  2. Step 2: Convert to fraction form
    15,667.54/21,623.97 = 9,297.65/x
  3. Step 3: Cross multiply
    15,667.54x = 21,623.97 × 9,297.65
  4. Step 4: Simplify right side
    15,667.54x = 201,051,996.55
  5. Step 5: Solve for x
    x = 201,051,996.55/15,667.54
  6. Step 6: Final answer
    x = 12,832.39

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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.