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Finding the Fourth Proportional to 17,384.12, 26,076 and 4,236.56

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Solution

The fourth proportional to 17,384.12, 26,076 and 4,236.56 is: 6,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384.12 : 26,076 = 4,236.56 : x
  2. Step 2: Convert to fraction form
    17,384.12/26,076 = 4,236.56/x
  3. Step 3: Cross multiply
    17,384.12x = 26,076 × 4,236.56
  4. Step 4: Simplify right side
    17,384.12x = 110,472,538.56
  5. Step 5: Solve for x
    x = 110,472,538.56/17,384.12
  6. Step 6: Final answer
    x = 6,354.80

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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.