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Finding the Fourth Proportional to 23,189.22, 32,000.40 and 12,980.25

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Solution

The fourth proportional to 23,189.22, 32,000.40 and 12,980.25 is: 17,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.22 : 32,000.40 = 12,980.25 : x
  2. Step 2: Convert to fraction form
    23,189.22/32,000.40 = 12,980.25/x
  3. Step 3: Cross multiply
    23,189.22x = 32,000.40 × 12,980.25
  4. Step 4: Simplify right side
    23,189.22x = 415,373,192.10
  5. Step 5: Solve for x
    x = 415,373,192.10/23,189.22
  6. Step 6: Final answer
    x = 17,912.34

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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.