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Finding the Fourth Proportional to 16,496.64, 22,774.72 and 10,448.64

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Solution

The fourth proportional to 16,496.64, 22,774.72 and 10,448.64 is: 14,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.64 : 22,774.72 = 10,448.64 : x
  2. Step 2: Convert to fraction form
    16,496.64/22,774.72 = 10,448.64/x
  3. Step 3: Cross multiply
    16,496.64x = 22,774.72 × 10,448.64
  4. Step 4: Simplify right side
    16,496.64x = 237,964,850.38
  5. Step 5: Solve for x
    x = 237,964,850.38/16,496.64
  6. Step 6: Final answer
    x = 14,425.05

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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.