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Finding the Fourth Proportional to 23,609.48, 32,580.29 and 12,999.08

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Solution

The fourth proportional to 23,609.48, 32,580.29 and 12,999.08 is: 17,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.48 : 32,580.29 = 12,999.08 : x
  2. Step 2: Convert to fraction form
    23,609.48/32,580.29 = 12,999.08/x
  3. Step 3: Cross multiply
    23,609.48x = 32,580.29 × 12,999.08
  4. Step 4: Simplify right side
    23,609.48x = 423,513,910.08
  5. Step 5: Solve for x
    x = 423,513,910.08/23,609.48
  6. Step 6: Final answer
    x = 17,938.30

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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.