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Finding the Fourth Proportional to 21,496.64, 32,094.48 and 20,178.24

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Solution

The fourth proportional to 21,496.64, 32,094.48 and 20,178.24 is: 30,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.64 : 32,094.48 = 20,178.24 : x
  2. Step 2: Convert to fraction form
    21,496.64/32,094.48 = 20,178.24/x
  3. Step 3: Cross multiply
    21,496.64x = 32,094.48 × 20,178.24
  4. Step 4: Simplify right side
    21,496.64x = 647,610,120.12
  5. Step 5: Solve for x
    x = 647,610,120.12/21,496.64
  6. Step 6: Final answer
    x = 30,126.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.