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Finding the Fourth Proportional to 16,460.76, 22,695.90 and 11,429.16

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Solution

The fourth proportional to 16,460.76, 22,695.90 and 11,429.16 is: 15,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.76 : 22,695.90 = 11,429.16 : x
  2. Step 2: Convert to fraction form
    16,460.76/22,695.90 = 11,429.16/x
  3. Step 3: Cross multiply
    16,460.76x = 22,695.90 × 11,429.16
  4. Step 4: Simplify right side
    16,460.76x = 259,395,072.44
  5. Step 5: Solve for x
    x = 259,395,072.44/16,460.76
  6. Step 6: Final answer
    x = 15,758.39

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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.