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Finding the Fourth Proportional to 21,629.84, 32,444.82 and 6,047.60

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Solution

The fourth proportional to 21,629.84, 32,444.82 and 6,047.60 is: 9,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,629.84 : 32,444.82 = 6,047.60 : x
  2. Step 2: Convert to fraction form
    21,629.84/32,444.82 = 6,047.60/x
  3. Step 3: Cross multiply
    21,629.84x = 32,444.82 × 6,047.60
  4. Step 4: Simplify right side
    21,629.84x = 196,213,293.43
  5. Step 5: Solve for x
    x = 196,213,293.43/21,629.84
  6. Step 6: Final answer
    x = 9,071.42

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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.