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Finding the Fourth Proportional to 16,444.20, 24,631.08 and 7,071.96

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Solution

The fourth proportional to 16,444.20, 24,631.08 and 7,071.96 is: 10,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,444.20 : 24,631.08 = 7,071.96 : x
  2. Step 2: Convert to fraction form
    16,444.20/24,631.08 = 7,071.96/x
  3. Step 3: Cross multiply
    16,444.20x = 24,631.08 × 7,071.96
  4. Step 4: Simplify right side
    16,444.20x = 174,190,012.52
  5. Step 5: Solve for x
    x = 174,190,012.52/16,444.20
  6. Step 6: Final answer
    x = 10,592.79

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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.