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Finding the Fourth Proportional to 25,497.11, 38,213.19 and 14,409.97

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Solution

The fourth proportional to 25,497.11, 38,213.19 and 14,409.97 is: 21,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.11 : 38,213.19 = 14,409.97 : x
  2. Step 2: Convert to fraction form
    25,497.11/38,213.19 = 14,409.97/x
  3. Step 3: Cross multiply
    25,497.11x = 38,213.19 × 14,409.97
  4. Step 4: Simplify right side
    25,497.11x = 550,650,825.97
  5. Step 5: Solve for x
    x = 550,650,825.97/25,497.11
  6. Step 6: Final answer
    x = 21,596.60

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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.