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Finding the Fourth Proportional to 14,651.40, 21,962.70 and 13,096.20

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Solution

The fourth proportional to 14,651.40, 21,962.70 and 13,096.20 is: 19,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.40 : 21,962.70 = 13,096.20 : x
  2. Step 2: Convert to fraction form
    14,651.40/21,962.70 = 13,096.20/x
  3. Step 3: Cross multiply
    14,651.40x = 21,962.70 × 13,096.20
  4. Step 4: Simplify right side
    14,651.40x = 287,627,911.74
  5. Step 5: Solve for x
    x = 287,627,911.74/14,651.40
  6. Step 6: Final answer
    x = 19,631.43

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1.5x scale

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.