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Finding the Fourth Proportional to 27,424.41, 37,845.69 and 14,849.16

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Solution

The fourth proportional to 27,424.41, 37,845.69 and 14,849.16 is: 20,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.41 : 37,845.69 = 14,849.16 : x
  2. Step 2: Convert to fraction form
    27,424.41/37,845.69 = 14,849.16/x
  3. Step 3: Cross multiply
    27,424.41x = 37,845.69 × 14,849.16
  4. Step 4: Simplify right side
    27,424.41x = 561,976,706.12
  5. Step 5: Solve for x
    x = 561,976,706.12/27,424.41
  6. Step 6: Final answer
    x = 20,491.84

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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.