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Finding the Fourth Proportional to 16,497.76, 24,748.96 and 4,811.84

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Solution

The fourth proportional to 16,497.76, 24,748.96 and 4,811.84 is: 7,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.76 : 24,748.96 = 4,811.84 : x
  2. Step 2: Convert to fraction form
    16,497.76/24,748.96 = 4,811.84/x
  3. Step 3: Cross multiply
    16,497.76x = 24,748.96 × 4,811.84
  4. Step 4: Simplify right side
    16,497.76x = 119,088,035.69
  5. Step 5: Solve for x
    x = 119,088,035.69/16,497.76
  6. Step 6: Final answer
    x = 7,218.44

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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.