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Finding the Fourth Proportional to 16,297.10, 24,445.44 and 5,203.64

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Solution

The fourth proportional to 16,297.10, 24,445.44 and 5,203.64 is: 7,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.10 : 24,445.44 = 5,203.64 : x
  2. Step 2: Convert to fraction form
    16,297.10/24,445.44 = 5,203.64/x
  3. Step 3: Cross multiply
    16,297.10x = 24,445.44 × 5,203.64
  4. Step 4: Simplify right side
    16,297.10x = 127,205,269.40
  5. Step 5: Solve for x
    x = 127,205,269.40/16,297.10
  6. Step 6: Final answer
    x = 7,805.39

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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.