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Finding the Fourth Proportional to 18,412.50, 27,619.02 and 4,561.50

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Solution

The fourth proportional to 18,412.50, 27,619.02 and 4,561.50 is: 6,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.50 : 27,619.02 = 4,561.50 : x
  2. Step 2: Convert to fraction form
    18,412.50/27,619.02 = 4,561.50/x
  3. Step 3: Cross multiply
    18,412.50x = 27,619.02 × 4,561.50
  4. Step 4: Simplify right side
    18,412.50x = 125,984,159.73
  5. Step 5: Solve for x
    x = 125,984,159.73/18,412.50
  6. Step 6: Final answer
    x = 6,842.32

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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.