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Finding the Fourth Proportional to 27,431.66, 37,855.74 and 14,856.41

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Solution

The fourth proportional to 27,431.66, 37,855.74 and 14,856.41 is: 20,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.66 : 37,855.74 = 14,856.41 : x
  2. Step 2: Convert to fraction form
    27,431.66/37,855.74 = 14,856.41/x
  3. Step 3: Cross multiply
    27,431.66x = 37,855.74 × 14,856.41
  4. Step 4: Simplify right side
    27,431.66x = 562,400,394.29
  5. Step 5: Solve for x
    x = 562,400,394.29/27,431.66
  6. Step 6: Final answer
    x = 20,501.87

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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.