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Finding the Fourth Proportional to 16,635.84, 22,955.29 and 9,922.26

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Solution

The fourth proportional to 16,635.84, 22,955.29 and 9,922.26 is: 13,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635.84 : 22,955.29 = 9,922.26 : x
  2. Step 2: Convert to fraction form
    16,635.84/22,955.29 = 9,922.26/x
  3. Step 3: Cross multiply
    16,635.84x = 22,955.29 × 9,922.26
  4. Step 4: Simplify right side
    16,635.84x = 227,768,355.76
  5. Step 5: Solve for x
    x = 227,768,355.76/16,635.84
  6. Step 6: Final answer
    x = 13,691.43

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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.