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Finding the Fourth Proportional to 17,851, 26,768.68 and 9,529.12

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Solution

The fourth proportional to 17,851, 26,768.68 and 9,529.12 is: 14,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851 : 26,768.68 = 9,529.12 : x
  2. Step 2: Convert to fraction form
    17,851/26,768.68 = 9,529.12/x
  3. Step 3: Cross multiply
    17,851x = 26,768.68 × 9,529.12
  4. Step 4: Simplify right side
    17,851x = 255,081,963.96
  5. Step 5: Solve for x
    x = 255,081,963.96/17,851
  6. Step 6: Final answer
    x = 14,289.51

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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.