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Finding the Fourth Proportional to 16,642, 22,966.04 and 9,568.84

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Solution

The fourth proportional to 16,642, 22,966.04 and 9,568.84 is: 13,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642 : 22,966.04 = 9,568.84 : x
  2. Step 2: Convert to fraction form
    16,642/22,966.04 = 9,568.84/x
  3. Step 3: Cross multiply
    16,642x = 22,966.04 × 9,568.84
  4. Step 4: Simplify right side
    16,642x = 219,758,362.19
  5. Step 5: Solve for x
    x = 219,758,362.19/16,642
  6. Step 6: Final answer
    x = 13,205.05

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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.