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Finding the Fourth Proportional to 16,297.29, 24,445.72 and 5,203.83

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Solution

The fourth proportional to 16,297.29, 24,445.72 and 5,203.83 is: 7,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.29 : 24,445.72 = 5,203.83 : x
  2. Step 2: Convert to fraction form
    16,297.29/24,445.72 = 5,203.83/x
  3. Step 3: Cross multiply
    16,297.29x = 24,445.72 × 5,203.83
  4. Step 4: Simplify right side
    16,297.29x = 127,211,432.22
  5. Step 5: Solve for x
    x = 127,211,432.22/16,297.29
  6. Step 6: Final answer
    x = 7,805.68

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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.