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Finding the Fourth Proportional to 16,473.52, 24,713.64 and 4,786.48

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Solution

The fourth proportional to 16,473.52, 24,713.64 and 4,786.48 is: 7,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.52 : 24,713.64 = 4,786.48 : x
  2. Step 2: Convert to fraction form
    16,473.52/24,713.64 = 4,786.48/x
  3. Step 3: Cross multiply
    16,473.52x = 24,713.64 × 4,786.48
  4. Step 4: Simplify right side
    16,473.52x = 118,291,343.59
  5. Step 5: Solve for x
    x = 118,291,343.59/16,473.52
  6. Step 6: Final answer
    x = 7,180.70

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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.