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Finding the Fourth Proportional to 16,472, 24,708.30 and 4,786.40

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Solution

The fourth proportional to 16,472, 24,708.30 and 4,786.40 is: 7,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472 : 24,708.30 = 4,786.40 : x
  2. Step 2: Convert to fraction form
    16,472/24,708.30 = 4,786.40/x
  3. Step 3: Cross multiply
    16,472x = 24,708.30 × 4,786.40
  4. Step 4: Simplify right side
    16,472x = 118,263,807.12
  5. Step 5: Solve for x
    x = 118,263,807.12/16,472
  6. Step 6: Final answer
    x = 7,179.69

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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.