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Finding the Fourth Proportional to 14,922.64, 20,593.74 and 8,208.79

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Solution

The fourth proportional to 14,922.64, 20,593.74 and 8,208.79 is: 11,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.64 : 20,593.74 = 8,208.79 : x
  2. Step 2: Convert to fraction form
    14,922.64/20,593.74 = 8,208.79/x
  3. Step 3: Cross multiply
    14,922.64x = 20,593.74 × 8,208.79
  4. Step 4: Simplify right side
    14,922.64x = 169,049,686.97
  5. Step 5: Solve for x
    x = 169,049,686.97/14,922.64
  6. Step 6: Final answer
    x = 11,328.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.