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Finding the Fourth Proportional to 16,164.64, 24,244.21 and 4,475.13

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Solution

The fourth proportional to 16,164.64, 24,244.21 and 4,475.13 is: 6,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.64 : 24,244.21 = 4,475.13 : x
  2. Step 2: Convert to fraction form
    16,164.64/24,244.21 = 4,475.13/x
  3. Step 3: Cross multiply
    16,164.64x = 24,244.21 × 4,475.13
  4. Step 4: Simplify right side
    16,164.64x = 108,495,991.50
  5. Step 5: Solve for x
    x = 108,495,991.50/16,164.64
  6. Step 6: Final answer
    x = 6,711.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.