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Finding the Fourth Proportional to 14,796, 22,209.20 and 11,544.64

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Solution

The fourth proportional to 14,796, 22,209.20 and 11,544.64 is: 17,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796 : 22,209.20 = 11,544.64 : x
  2. Step 2: Convert to fraction form
    14,796/22,209.20 = 11,544.64/x
  3. Step 3: Cross multiply
    14,796x = 22,209.20 × 11,544.64
  4. Step 4: Simplify right side
    14,796x = 256,397,218.69
  5. Step 5: Solve for x
    x = 256,397,218.69/14,796
  6. Step 6: Final answer
    x = 17,328.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.