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Finding the Fourth Proportional to 25,744.80, 38,590.86 and 14,627.76

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Solution

The fourth proportional to 25,744.80, 38,590.86 and 14,627.76 is: 21,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,744.80 : 38,590.86 = 14,627.76 : x
  2. Step 2: Convert to fraction form
    25,744.80/38,590.86 = 14,627.76/x
  3. Step 3: Cross multiply
    25,744.80x = 38,590.86 × 14,627.76
  4. Step 4: Simplify right side
    25,744.80x = 564,497,838.27
  5. Step 5: Solve for x
    x = 564,497,838.27/25,744.80
  6. Step 6: Final answer
    x = 21,926.67

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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.