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Finding the Fourth Proportional to 21,662.41, 32,483.89 and 9,969.25

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Solution

The fourth proportional to 21,662.41, 32,483.89 and 9,969.25 is: 14,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.41 : 32,483.89 = 9,969.25 : x
  2. Step 2: Convert to fraction form
    21,662.41/32,483.89 = 9,969.25/x
  3. Step 3: Cross multiply
    21,662.41x = 32,483.89 × 9,969.25
  4. Step 4: Simplify right side
    21,662.41x = 323,840,020.38
  5. Step 5: Solve for x
    x = 323,840,020.38/21,662.41
  6. Step 6: Final answer
    x = 14,949.40

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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.