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Finding the Fourth Proportional to 14,487.42, 21,732.81 and 5,125.50

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Solution

The fourth proportional to 14,487.42, 21,732.81 and 5,125.50 is: 7,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.42 : 21,732.81 = 5,125.50 : x
  2. Step 2: Convert to fraction form
    14,487.42/21,732.81 = 5,125.50/x
  3. Step 3: Cross multiply
    14,487.42x = 21,732.81 × 5,125.50
  4. Step 4: Simplify right side
    14,487.42x = 111,391,517.66
  5. Step 5: Solve for x
    x = 111,391,517.66/14,487.42
  6. Step 6: Final answer
    x = 7,688.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.