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Finding the Fourth Proportional to 16,657.74, 22,984.29 and 9,941.22

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Solution

The fourth proportional to 16,657.74, 22,984.29 and 9,941.22 is: 13,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.74 : 22,984.29 = 9,941.22 : x
  2. Step 2: Convert to fraction form
    16,657.74/22,984.29 = 9,941.22/x
  3. Step 3: Cross multiply
    16,657.74x = 22,984.29 × 9,941.22
  4. Step 4: Simplify right side
    16,657.74x = 228,491,883.43
  5. Step 5: Solve for x
    x = 228,491,883.43/16,657.74
  6. Step 6: Final answer
    x = 13,716.86

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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.