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Finding the Fourth Proportional to 27,431.94, 37,855.98 and 14,856.69

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Solution

The fourth proportional to 27,431.94, 37,855.98 and 14,856.69 is: 20,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.94 : 37,855.98 = 14,856.69 : x
  2. Step 2: Convert to fraction form
    27,431.94/37,855.98 = 14,856.69/x
  3. Step 3: Cross multiply
    27,431.94x = 37,855.98 × 14,856.69
  4. Step 4: Simplify right side
    27,431.94x = 562,414,559.51
  5. Step 5: Solve for x
    x = 562,414,559.51/27,431.94
  6. Step 6: Final answer
    x = 20,502.18

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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.