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Finding the Fourth Proportional to 27,431.88, 37,855.99 and 14,856.63

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Solution

The fourth proportional to 27,431.88, 37,855.99 and 14,856.63 is: 20,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.88 : 37,855.99 = 14,856.63 : x
  2. Step 2: Convert to fraction form
    27,431.88/37,855.99 = 14,856.63/x
  3. Step 3: Cross multiply
    27,431.88x = 37,855.99 × 14,856.63
  4. Step 4: Simplify right side
    27,431.88x = 562,412,436.71
  5. Step 5: Solve for x
    x = 562,412,436.71/27,431.88
  6. Step 6: Final answer
    x = 20,502.15

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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.