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Finding the Fourth Proportional to 16,818.32, 23,209.28 and 9,748.84

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Solution

The fourth proportional to 16,818.32, 23,209.28 and 9,748.84 is: 13,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,818.32 : 23,209.28 = 9,748.84 : x
  2. Step 2: Convert to fraction form
    16,818.32/23,209.28 = 9,748.84/x
  3. Step 3: Cross multiply
    16,818.32x = 23,209.28 × 9,748.84
  4. Step 4: Simplify right side
    16,818.32x = 226,263,392.44
  5. Step 5: Solve for x
    x = 226,263,392.44/16,818.32
  6. Step 6: Final answer
    x = 13,453.39

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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.