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Finding the Fourth Proportional to 27,185.47, 40,771.89 and 7,465.61

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Solution

The fourth proportional to 27,185.47, 40,771.89 and 7,465.61 is: 11,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,185.47 : 40,771.89 = 7,465.61 : x
  2. Step 2: Convert to fraction form
    27,185.47/40,771.89 = 7,465.61/x
  3. Step 3: Cross multiply
    27,185.47x = 40,771.89 × 7,465.61
  4. Step 4: Simplify right side
    27,185.47x = 304,387,131.63
  5. Step 5: Solve for x
    x = 304,387,131.63/27,185.47
  6. Step 6: Final answer
    x = 11,196.69

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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.