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Finding the Fourth Proportional to 16,218.32, 24,327.58 and 4,531.64

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Solution

The fourth proportional to 16,218.32, 24,327.58 and 4,531.64 is: 6,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.32 : 24,327.58 = 4,531.64 : x
  2. Step 2: Convert to fraction form
    16,218.32/24,327.58 = 4,531.64/x
  3. Step 3: Cross multiply
    16,218.32x = 24,327.58 × 4,531.64
  4. Step 4: Simplify right side
    16,218.32x = 110,243,834.63
  5. Step 5: Solve for x
    x = 110,243,834.63/16,218.32
  6. Step 6: Final answer
    x = 6,797.49

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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.