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Finding the Fourth Proportional to 27,924.98, 41,888.76 and 13,706.33

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Solution

The fourth proportional to 27,924.98, 41,888.76 and 13,706.33 is: 20,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,924.98 : 41,888.76 = 13,706.33 : x
  2. Step 2: Convert to fraction form
    27,924.98/41,888.76 = 13,706.33/x
  3. Step 3: Cross multiply
    27,924.98x = 41,888.76 × 13,706.33
  4. Step 4: Simplify right side
    27,924.98x = 574,140,958.41
  5. Step 5: Solve for x
    x = 574,140,958.41/27,924.98
  6. Step 6: Final answer
    x = 20,560.12

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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.