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Finding the Fourth Proportional to 27,458.70, 37,894.64 and 15,523.14

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Solution

The fourth proportional to 27,458.70, 37,894.64 and 15,523.14 is: 21,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.70 : 37,894.64 = 15,523.14 : x
  2. Step 2: Convert to fraction form
    27,458.70/37,894.64 = 15,523.14/x
  3. Step 3: Cross multiply
    27,458.70x = 37,894.64 × 15,523.14
  4. Step 4: Simplify right side
    27,458.70x = 588,243,866.46
  5. Step 5: Solve for x
    x = 588,243,866.46/27,458.70
  6. Step 6: Final answer
    x = 21,422.86

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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.