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Finding the Fourth Proportional to 27,431.25, 37,855.13 and 14,856

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Solution

The fourth proportional to 27,431.25, 37,855.13 and 14,856 is: 20,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.25 : 37,855.13 = 14,856 : x
  2. Step 2: Convert to fraction form
    27,431.25/37,855.13 = 14,856/x
  3. Step 3: Cross multiply
    27,431.25x = 37,855.13 × 14,856
  4. Step 4: Simplify right side
    27,431.25x = 562,375,737
  5. Step 5: Solve for x
    x = 562,375,737/27,431.25
  6. Step 6: Final answer
    x = 20,501.28

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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.