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Finding the Fourth Proportional to 27,532.46, 41,300.26 and 7,809.47

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Solution

The fourth proportional to 27,532.46, 41,300.26 and 7,809.47 is: 11,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,532.46 : 41,300.26 = 7,809.47 : x
  2. Step 2: Convert to fraction form
    27,532.46/41,300.26 = 7,809.47/x
  3. Step 3: Cross multiply
    27,532.46x = 41,300.26 × 7,809.47
  4. Step 4: Simplify right side
    27,532.46x = 322,533,114.24
  5. Step 5: Solve for x
    x = 322,533,114.24/27,532.46
  6. Step 6: Final answer
    x = 11,714.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.