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Finding the Fourth Proportional to 16,519.84, 24,780.51 and 4,674.50

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Solution

The fourth proportional to 16,519.84, 24,780.51 and 4,674.50 is: 7,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,519.84 : 24,780.51 = 4,674.50 : x
  2. Step 2: Convert to fraction form
    16,519.84/24,780.51 = 4,674.50/x
  3. Step 3: Cross multiply
    16,519.84x = 24,780.51 × 4,674.50
  4. Step 4: Simplify right side
    16,519.84x = 115,836,494.00
  5. Step 5: Solve for x
    x = 115,836,494.00/16,519.84
  6. Step 6: Final answer
    x = 7,011.96

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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.