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Finding the Fourth Proportional to 16,649.08, 22,980.90 and 10,277.68

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Solution

The fourth proportional to 16,649.08, 22,980.90 and 10,277.68 is: 14,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.08 : 22,980.90 = 10,277.68 : x
  2. Step 2: Convert to fraction form
    16,649.08/22,980.90 = 10,277.68/x
  3. Step 3: Cross multiply
    16,649.08x = 22,980.90 × 10,277.68
  4. Step 4: Simplify right side
    16,649.08x = 236,190,336.31
  5. Step 5: Solve for x
    x = 236,190,336.31/16,649.08
  6. Step 6: Final answer
    x = 14,186.39

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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.