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Finding the Fourth Proportional to 16,348.16, 24,524.68 and 7,583.96

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Solution

The fourth proportional to 16,348.16, 24,524.68 and 7,583.96 is: 11,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.16 : 24,524.68 = 7,583.96 : x
  2. Step 2: Convert to fraction form
    16,348.16/24,524.68 = 7,583.96/x
  3. Step 3: Cross multiply
    16,348.16x = 24,524.68 × 7,583.96
  4. Step 4: Simplify right side
    16,348.16x = 185,994,192.13
  5. Step 5: Solve for x
    x = 185,994,192.13/16,348.16
  6. Step 6: Final answer
    x = 11,377.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.