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Finding the Fourth Proportional to 25,504.87, 38,224.89 and 14,417.77

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Solution

The fourth proportional to 25,504.87, 38,224.89 and 14,417.77 is: 21,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,504.87 : 38,224.89 = 14,417.77 : x
  2. Step 2: Convert to fraction form
    25,504.87/38,224.89 = 14,417.77/x
  3. Step 3: Cross multiply
    25,504.87x = 38,224.89 × 14,417.77
  4. Step 4: Simplify right side
    25,504.87x = 551,117,672.30
  5. Step 5: Solve for x
    x = 551,117,672.30/25,504.87
  6. Step 6: Final answer
    x = 21,608.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.