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Finding the Fourth Proportional to 16,651.89, 22,980.05 and 9,941.40

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Solution

The fourth proportional to 16,651.89, 22,980.05 and 9,941.40 is: 13,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,651.89 : 22,980.05 = 9,941.40 : x
  2. Step 2: Convert to fraction form
    16,651.89/22,980.05 = 9,941.40/x
  3. Step 3: Cross multiply
    16,651.89x = 22,980.05 × 9,941.40
  4. Step 4: Simplify right side
    16,651.89x = 228,453,819.36
  5. Step 5: Solve for x
    x = 228,453,819.36/16,651.89
  6. Step 6: Final answer
    x = 13,719.39

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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.