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Finding the Fourth Proportional to 25,503.87, 38,223.39 and 14,416.77

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Solution

The fourth proportional to 25,503.87, 38,223.39 and 14,416.77 is: 21,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,503.87 : 38,223.39 = 14,416.77 : x
  2. Step 2: Convert to fraction form
    25,503.87/38,223.39 = 14,416.77/x
  3. Step 3: Cross multiply
    25,503.87x = 38,223.39 × 14,416.77
  4. Step 4: Simplify right side
    25,503.87x = 551,057,822.25
  5. Step 5: Solve for x
    x = 551,057,822.25/25,503.87
  6. Step 6: Final answer
    x = 21,606.83

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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.