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Finding the Fourth Proportional to 25,227.86, 34,814.00 and 14,618.48

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Solution

The fourth proportional to 25,227.86, 34,814.00 and 14,618.48 is: 20,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,227.86 : 34,814.00 = 14,618.48 : x
  2. Step 2: Convert to fraction form
    25,227.86/34,814.00 = 14,618.48/x
  3. Step 3: Cross multiply
    25,227.86x = 34,814.00 × 14,618.48
  4. Step 4: Simplify right side
    25,227.86x = 508,927,625.20
  5. Step 5: Solve for x
    x = 508,927,625.20/25,227.86
  6. Step 6: Final answer
    x = 20,173.24

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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.