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Finding the Fourth Proportional to 14,381.80, 21,575.76 and 8,144.74

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Solution

The fourth proportional to 14,381.80, 21,575.76 and 8,144.74 is: 12,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.80 : 21,575.76 = 8,144.74 : x
  2. Step 2: Convert to fraction form
    14,381.80/21,575.76 = 8,144.74/x
  3. Step 3: Cross multiply
    14,381.80x = 21,575.76 × 8,144.74
  4. Step 4: Simplify right side
    14,381.80x = 175,728,955.50
  5. Step 5: Solve for x
    x = 175,728,955.50/14,381.80
  6. Step 6: Final answer
    x = 12,218.84

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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.