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Finding the Fourth Proportional to 14,792, 22,203.20 and 11,540.64

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Solution

The fourth proportional to 14,792, 22,203.20 and 11,540.64 is: 17,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792 : 22,203.20 = 11,540.64 : x
  2. Step 2: Convert to fraction form
    14,792/22,203.20 = 11,540.64/x
  3. Step 3: Cross multiply
    14,792x = 22,203.20 × 11,540.64
  4. Step 4: Simplify right side
    14,792x = 256,239,138.05
  5. Step 5: Solve for x
    x = 256,239,138.05/14,792
  6. Step 6: Final answer
    x = 17,322.82

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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.