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Finding the Fourth Proportional to 16,290.56, 24,435.86 and 5,197.30

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Solution

The fourth proportional to 16,290.56, 24,435.86 and 5,197.30 is: 7,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290.56 : 24,435.86 = 5,197.30 : x
  2. Step 2: Convert to fraction form
    16,290.56/24,435.86 = 5,197.30/x
  3. Step 3: Cross multiply
    16,290.56x = 24,435.86 × 5,197.30
  4. Step 4: Simplify right side
    16,290.56x = 127,000,495.18
  5. Step 5: Solve for x
    x = 127,000,495.18/16,290.56
  6. Step 6: Final answer
    x = 7,795.96

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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.