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Finding the Fourth Proportional to 21,921.84, 32,884.56 and 9,442.16

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Solution

The fourth proportional to 21,921.84, 32,884.56 and 9,442.16 is: 14,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,921.84 : 32,884.56 = 9,442.16 : x
  2. Step 2: Convert to fraction form
    21,921.84/32,884.56 = 9,442.16/x
  3. Step 3: Cross multiply
    21,921.84x = 32,884.56 × 9,442.16
  4. Step 4: Simplify right side
    21,921.84x = 310,501,277.05
  5. Step 5: Solve for x
    x = 310,501,277.05/21,921.84
  6. Step 6: Final answer
    x = 14,164.02

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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.