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Finding the Fourth Proportional to 14,496.64, 21,571.29 and 14,447.43

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Solution

The fourth proportional to 14,496.64, 21,571.29 and 14,447.43 is: 21,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.64 : 21,571.29 = 14,447.43 : x
  2. Step 2: Convert to fraction form
    14,496.64/21,571.29 = 14,447.43/x
  3. Step 3: Cross multiply
    14,496.64x = 21,571.29 × 14,447.43
  4. Step 4: Simplify right side
    14,496.64x = 311,649,702.28
  5. Step 5: Solve for x
    x = 311,649,702.28/14,496.64
  6. Step 6: Final answer
    x = 21,498.07

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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.