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Finding the Fourth Proportional to 16,279.10, 24,381.74 and 10,355.98

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Solution

The fourth proportional to 16,279.10, 24,381.74 and 10,355.98 is: 15,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.10 : 24,381.74 = 10,355.98 : x
  2. Step 2: Convert to fraction form
    16,279.10/24,381.74 = 10,355.98/x
  3. Step 3: Cross multiply
    16,279.10x = 24,381.74 × 10,355.98
  4. Step 4: Simplify right side
    16,279.10x = 252,496,811.81
  5. Step 5: Solve for x
    x = 252,496,811.81/16,279.10
  6. Step 6: Final answer
    x = 15,510.49

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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.