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Finding the Fourth Proportional to 27,431.52, 37,855.52 and 14,856.24

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Solution

The fourth proportional to 27,431.52, 37,855.52 and 14,856.24 is: 20,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.52 : 37,855.52 = 14,856.24 : x
  2. Step 2: Convert to fraction form
    27,431.52/37,855.52 = 14,856.24/x
  3. Step 3: Cross multiply
    27,431.52x = 37,855.52 × 14,856.24
  4. Step 4: Simplify right side
    27,431.52x = 562,390,690.44
  5. Step 5: Solve for x
    x = 562,390,690.44/27,431.52
  6. Step 6: Final answer
    x = 20,501.62

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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.