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Finding the Fourth Proportional to 28,305.35, 42,464.03 and 9,584.49

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Solution

The fourth proportional to 28,305.35, 42,464.03 and 9,584.49 is: 14,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,305.35 : 42,464.03 = 9,584.49 : x
  2. Step 2: Convert to fraction form
    28,305.35/42,464.03 = 9,584.49/x
  3. Step 3: Cross multiply
    28,305.35x = 42,464.03 × 9,584.49
  4. Step 4: Simplify right side
    28,305.35x = 406,996,022.97
  5. Step 5: Solve for x
    x = 406,996,022.97/28,305.35
  6. Step 6: Final answer
    x = 14,378.77

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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.