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Finding the Fourth Proportional to 16,297.29, 24,442.71 and 5,200.98

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Solution

The fourth proportional to 16,297.29, 24,442.71 and 5,200.98 is: 7,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.29 : 24,442.71 = 5,200.98 : x
  2. Step 2: Convert to fraction form
    16,297.29/24,442.71 = 5,200.98/x
  3. Step 3: Cross multiply
    16,297.29x = 24,442.71 × 5,200.98
  4. Step 4: Simplify right side
    16,297.29x = 127,126,045.86
  5. Step 5: Solve for x
    x = 127,126,045.86/16,297.29
  6. Step 6: Final answer
    x = 7,800.44

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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.