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Finding the Fourth Proportional to 21,693.40, 32,546.22 and 6,111.16

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Solution

The fourth proportional to 21,693.40, 32,546.22 and 6,111.16 is: 9,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,693.40 : 32,546.22 = 6,111.16 : x
  2. Step 2: Convert to fraction form
    21,693.40/32,546.22 = 6,111.16/x
  3. Step 3: Cross multiply
    21,693.40x = 32,546.22 × 6,111.16
  4. Step 4: Simplify right side
    21,693.40x = 198,895,157.82
  5. Step 5: Solve for x
    x = 198,895,157.82/21,693.40
  6. Step 6: Final answer
    x = 9,168.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.