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Finding the Fourth Proportional to 16,209.30, 22,346.64 and 10,237.98

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Solution

The fourth proportional to 16,209.30, 22,346.64 and 10,237.98 is: 14,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.30 : 22,346.64 = 10,237.98 : x
  2. Step 2: Convert to fraction form
    16,209.30/22,346.64 = 10,237.98/x
  3. Step 3: Cross multiply
    16,209.30x = 22,346.64 × 10,237.98
  4. Step 4: Simplify right side
    16,209.30x = 228,784,453.39
  5. Step 5: Solve for x
    x = 228,784,453.39/16,209.30
  6. Step 6: Final answer
    x = 14,114.39

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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.