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Finding the Fourth Proportional to 20,165.76, 30,112.71 and 16,475.28

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Solution

The fourth proportional to 20,165.76, 30,112.71 and 16,475.28 is: 24,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.76 : 30,112.71 = 16,475.28 : x
  2. Step 2: Convert to fraction form
    20,165.76/30,112.71 = 16,475.28/x
  3. Step 3: Cross multiply
    20,165.76x = 30,112.71 × 16,475.28
  4. Step 4: Simplify right side
    20,165.76x = 496,115,328.81
  5. Step 5: Solve for x
    x = 496,115,328.81/20,165.76
  6. Step 6: Final answer
    x = 24,601.87

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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.