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Finding the Fourth Proportional to 16,432, 22,676.16 and 10,554.24

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Solution

The fourth proportional to 16,432, 22,676.16 and 10,554.24 is: 14,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432 : 22,676.16 = 10,554.24 : x
  2. Step 2: Convert to fraction form
    16,432/22,676.16 = 10,554.24/x
  3. Step 3: Cross multiply
    16,432x = 22,676.16 × 10,554.24
  4. Step 4: Simplify right side
    16,432x = 239,329,634.92
  5. Step 5: Solve for x
    x = 239,329,634.92/16,432
  6. Step 6: Final answer
    x = 14,564.85

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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.