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Finding the Fourth Proportional to 14,916, 22,374.14 and 4,527.75

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Solution

The fourth proportional to 14,916, 22,374.14 and 4,527.75 is: 6,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916 : 22,374.14 = 4,527.75 : x
  2. Step 2: Convert to fraction form
    14,916/22,374.14 = 4,527.75/x
  3. Step 3: Cross multiply
    14,916x = 22,374.14 × 4,527.75
  4. Step 4: Simplify right side
    14,916x = 101,304,489.75
  5. Step 5: Solve for x
    x = 101,304,489.75/14,916
  6. Step 6: Final answer
    x = 6,791.67

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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.