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Finding the Fourth Proportional to 27,412.52, 37,829.43 and 14,837.27

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Solution

The fourth proportional to 27,412.52, 37,829.43 and 14,837.27 is: 20,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.52 : 37,829.43 = 14,837.27 : x
  2. Step 2: Convert to fraction form
    27,412.52/37,829.43 = 14,837.27/x
  3. Step 3: Cross multiply
    27,412.52x = 37,829.43 × 14,837.27
  4. Step 4: Simplify right side
    27,412.52x = 561,285,277.71
  5. Step 5: Solve for x
    x = 561,285,277.71/27,412.52
  6. Step 6: Final answer
    x = 20,475.51

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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.