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Finding the Fourth Proportional to 16,267.83, 22,468.06 and 10,953.42

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Solution

The fourth proportional to 16,267.83, 22,468.06 and 10,953.42 is: 15,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.83 : 22,468.06 = 10,953.42 : x
  2. Step 2: Convert to fraction form
    16,267.83/22,468.06 = 10,953.42/x
  3. Step 3: Cross multiply
    16,267.83x = 22,468.06 × 10,953.42
  4. Step 4: Simplify right side
    16,267.83x = 246,102,070.38
  5. Step 5: Solve for x
    x = 246,102,070.38/16,267.83
  6. Step 6: Final answer
    x = 15,128.14

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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.