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Finding the Fourth Proportional to 14,596.71, 20,224.83 and 14,281.42

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Solution

The fourth proportional to 14,596.71, 20,224.83 and 14,281.42 is: 19,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.71 : 20,224.83 = 14,281.42 : x
  2. Step 2: Convert to fraction form
    14,596.71/20,224.83 = 14,281.42/x
  3. Step 3: Cross multiply
    14,596.71x = 20,224.83 × 14,281.42
  4. Step 4: Simplify right side
    14,596.71x = 288,839,291.66
  5. Step 5: Solve for x
    x = 288,839,291.66/14,596.71
  6. Step 6: Final answer
    x = 19,787.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.