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Finding the Fourth Proportional to 27,458.34, 37,892.52 and 14,883

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Solution

The fourth proportional to 27,458.34, 37,892.52 and 14,883 is: 20,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.34 : 37,892.52 = 14,883 : x
  2. Step 2: Convert to fraction form
    27,458.34/37,892.52 = 14,883/x
  3. Step 3: Cross multiply
    27,458.34x = 37,892.52 × 14,883
  4. Step 4: Simplify right side
    27,458.34x = 563,954,375.16
  5. Step 5: Solve for x
    x = 563,954,375.16/27,458.34
  6. Step 6: Final answer
    x = 20,538.55

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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.