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Finding the Fourth Proportional to 27,186.84, 40,782.69 and 10,546.47

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Solution

The fourth proportional to 27,186.84, 40,782.69 and 10,546.47 is: 15,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.84 : 40,782.69 = 10,546.47 : x
  2. Step 2: Convert to fraction form
    27,186.84/40,782.69 = 10,546.47/x
  3. Step 3: Cross multiply
    27,186.84x = 40,782.69 × 10,546.47
  4. Step 4: Simplify right side
    27,186.84x = 430,113,416.60
  5. Step 5: Solve for x
    x = 430,113,416.60/27,186.84
  6. Step 6: Final answer
    x = 15,820.65

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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.