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Finding the Fourth Proportional to 16,133.64, 24,200.44 and 4,446.86

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Solution

The fourth proportional to 16,133.64, 24,200.44 and 4,446.86 is: 6,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.64 : 24,200.44 = 4,446.86 : x
  2. Step 2: Convert to fraction form
    16,133.64/24,200.44 = 4,446.86/x
  3. Step 3: Cross multiply
    16,133.64x = 24,200.44 × 4,446.86
  4. Step 4: Simplify right side
    16,133.64x = 107,615,968.62
  5. Step 5: Solve for x
    x = 107,615,968.62/16,133.64
  6. Step 6: Final answer
    x = 6,670.28

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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.