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Finding the Fourth Proportional to 27,424.92, 37,846.38 and 14,849.66

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Solution

The fourth proportional to 27,424.92, 37,846.38 and 14,849.66 is: 20,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.92 : 37,846.38 = 14,849.66 : x
  2. Step 2: Convert to fraction form
    27,424.92/37,846.38 = 14,849.66/x
  3. Step 3: Cross multiply
    27,424.92x = 37,846.38 × 14,849.66
  4. Step 4: Simplify right side
    27,424.92x = 562,005,875.23
  5. Step 5: Solve for x
    x = 562,005,875.23/27,424.92
  6. Step 6: Final answer
    x = 20,492.53

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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.