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Finding the Fourth Proportional to 14,438.69, 21,463.20 and 14,013.02

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Solution

The fourth proportional to 14,438.69, 21,463.20 and 14,013.02 is: 20,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.69 : 21,463.20 = 14,013.02 : x
  2. Step 2: Convert to fraction form
    14,438.69/21,463.20 = 14,013.02/x
  3. Step 3: Cross multiply
    14,438.69x = 21,463.20 × 14,013.02
  4. Step 4: Simplify right side
    14,438.69x = 300,764,073.48
  5. Step 5: Solve for x
    x = 300,764,073.48/14,438.69
  6. Step 6: Final answer
    x = 20,830.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.