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Finding the Fourth Proportional to 25,496.85, 38,212.82 and 14,409.72

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Solution

The fourth proportional to 25,496.85, 38,212.82 and 14,409.72 is: 21,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.85 : 38,212.82 = 14,409.72 : x
  2. Step 2: Convert to fraction form
    25,496.85/38,212.82 = 14,409.72/x
  3. Step 3: Cross multiply
    25,496.85x = 38,212.82 × 14,409.72
  4. Step 4: Simplify right side
    25,496.85x = 550,636,036.61
  5. Step 5: Solve for x
    x = 550,636,036.61/25,496.85
  6. Step 6: Final answer
    x = 21,596.24

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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.