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Finding the Fourth Proportional to 14,496.36, 21,744.54 and 7,569.24

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Solution

The fourth proportional to 14,496.36, 21,744.54 and 7,569.24 is: 11,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.36 : 21,744.54 = 7,569.24 : x
  2. Step 2: Convert to fraction form
    14,496.36/21,744.54 = 7,569.24/x
  3. Step 3: Cross multiply
    14,496.36x = 21,744.54 × 7,569.24
  4. Step 4: Simplify right side
    14,496.36x = 164,589,641.95
  5. Step 5: Solve for x
    x = 164,589,641.95/14,496.36
  6. Step 6: Final answer
    x = 11,353.86

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Similar ratio
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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.