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Finding the Fourth Proportional to 20,975.64, 31,463.76 and 5,393.28

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Solution

The fourth proportional to 20,975.64, 31,463.76 and 5,393.28 is: 8,090.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,975.64 : 31,463.76 = 5,393.28 : x
  2. Step 2: Convert to fraction form
    20,975.64/31,463.76 = 5,393.28/x
  3. Step 3: Cross multiply
    20,975.64x = 31,463.76 × 5,393.28
  4. Step 4: Simplify right side
    20,975.64x = 169,692,867.53
  5. Step 5: Solve for x
    x = 169,692,867.53/20,975.64
  6. Step 6: Final answer
    x = 8,090.00

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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.