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Finding the Fourth Proportional to 16,265.38, 22,448.21 and 9,551.63

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Solution

The fourth proportional to 16,265.38, 22,448.21 and 9,551.63 is: 13,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.38 : 22,448.21 = 9,551.63 : x
  2. Step 2: Convert to fraction form
    16,265.38/22,448.21 = 9,551.63/x
  3. Step 3: Cross multiply
    16,265.38x = 22,448.21 × 9,551.63
  4. Step 4: Simplify right side
    16,265.38x = 214,416,836.08
  5. Step 5: Solve for x
    x = 214,416,836.08/16,265.38
  6. Step 6: Final answer
    x = 13,182.41

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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.