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Finding the Fourth Proportional to 23,572.69, 32,530.34 and 12,962.09

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Solution

The fourth proportional to 23,572.69, 32,530.34 and 12,962.09 is: 17,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572.69 : 32,530.34 = 12,962.09 : x
  2. Step 2: Convert to fraction form
    23,572.69/32,530.34 = 12,962.09/x
  3. Step 3: Cross multiply
    23,572.69x = 32,530.34 × 12,962.09
  4. Step 4: Simplify right side
    23,572.69x = 421,661,308.54
  5. Step 5: Solve for x
    x = 421,661,308.54/23,572.69
  6. Step 6: Final answer
    x = 17,887.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.