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Finding the Fourth Proportional to 27,532.75, 37,995.24 and 14,957.50

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Solution

The fourth proportional to 27,532.75, 37,995.24 and 14,957.50 is: 20,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,532.75 : 37,995.24 = 14,957.50 : x
  2. Step 2: Convert to fraction form
    27,532.75/37,995.24 = 14,957.50/x
  3. Step 3: Cross multiply
    27,532.75x = 37,995.24 × 14,957.50
  4. Step 4: Simplify right side
    27,532.75x = 568,313,802.30
  5. Step 5: Solve for x
    x = 568,313,802.30/27,532.75
  6. Step 6: Final answer
    x = 20,641.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.