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Finding the Fourth Proportional to 27,458.24, 37,892.04 and 14,882.84

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Solution

The fourth proportional to 27,458.24, 37,892.04 and 14,882.84 is: 20,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.24 : 37,892.04 = 14,882.84 : x
  2. Step 2: Convert to fraction form
    27,458.24/37,892.04 = 14,882.84/x
  3. Step 3: Cross multiply
    27,458.24x = 37,892.04 × 14,882.84
  4. Step 4: Simplify right side
    27,458.24x = 563,941,168.59
  5. Step 5: Solve for x
    x = 563,941,168.59/27,458.24
  6. Step 6: Final answer
    x = 20,538.14

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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.