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Finding the Fourth Proportional to 14,664.12, 21,833.02 and 14,457.09

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Solution

The fourth proportional to 14,664.12, 21,833.02 and 14,457.09 is: 21,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664.12 : 21,833.02 = 14,457.09 : x
  2. Step 2: Convert to fraction form
    14,664.12/21,833.02 = 14,457.09/x
  3. Step 3: Cross multiply
    14,664.12x = 21,833.02 × 14,457.09
  4. Step 4: Simplify right side
    14,664.12x = 315,641,898.97
  5. Step 5: Solve for x
    x = 315,641,898.97/14,664.12
  6. Step 6: Final answer
    x = 21,524.78

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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.