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Finding the Fourth Proportional to 14,922.16, 20,592.62 and 8,208.47

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Solution

The fourth proportional to 14,922.16, 20,592.62 and 8,208.47 is: 11,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.16 : 20,592.62 = 8,208.47 : x
  2. Step 2: Convert to fraction form
    14,922.16/20,592.62 = 8,208.47/x
  3. Step 3: Cross multiply
    14,922.16x = 20,592.62 × 8,208.47
  4. Step 4: Simplify right side
    14,922.16x = 169,033,862.45
  5. Step 5: Solve for x
    x = 169,033,862.45/14,922.16
  6. Step 6: Final answer
    x = 11,327.71

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1.5x scale

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.