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Finding the Fourth Proportional to 27,424.81, 37,846.34 and 14,849.56

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Solution

The fourth proportional to 27,424.81, 37,846.34 and 14,849.56 is: 20,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.81 : 37,846.34 = 14,849.56 : x
  2. Step 2: Convert to fraction form
    27,424.81/37,846.34 = 14,849.56/x
  3. Step 3: Cross multiply
    27,424.81x = 37,846.34 × 14,849.56
  4. Step 4: Simplify right side
    27,424.81x = 562,001,496.61
  5. Step 5: Solve for x
    x = 562,001,496.61/27,424.81
  6. Step 6: Final answer
    x = 20,492.45

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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.