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Finding the Fourth Proportional to 14,527.82, 21,792.54 and 4,138.76

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Solution

The fourth proportional to 14,527.82, 21,792.54 and 4,138.76 is: 6,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.82 : 21,792.54 = 4,138.76 : x
  2. Step 2: Convert to fraction form
    14,527.82/21,792.54 = 4,138.76/x
  3. Step 3: Cross multiply
    14,527.82x = 21,792.54 × 4,138.76
  4. Step 4: Simplify right side
    14,527.82x = 90,194,092.85
  5. Step 5: Solve for x
    x = 90,194,092.85/14,527.82
  6. Step 6: Final answer
    x = 6,208.37

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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.