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Finding the Fourth Proportional to 23,580.67, 32,540.79 and 12,970.08

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Solution

The fourth proportional to 23,580.67, 32,540.79 and 12,970.08 is: 17,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.67 : 32,540.79 = 12,970.08 : x
  2. Step 2: Convert to fraction form
    23,580.67/32,540.79 = 12,970.08/x
  3. Step 3: Cross multiply
    23,580.67x = 32,540.79 × 12,970.08
  4. Step 4: Simplify right side
    23,580.67x = 422,056,649.56
  5. Step 5: Solve for x
    x = 422,056,649.56/23,580.67
  6. Step 6: Final answer
    x = 17,898.42

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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.