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Finding the Fourth Proportional to 12,842.64, 17,721.36 and 7,463.43

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Solution

The fourth proportional to 12,842.64, 17,721.36 and 7,463.43 is: 10,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.64 : 17,721.36 = 7,463.43 : x
  2. Step 2: Convert to fraction form
    12,842.64/17,721.36 = 7,463.43/x
  3. Step 3: Cross multiply
    12,842.64x = 17,721.36 × 7,463.43
  4. Step 4: Simplify right side
    12,842.64x = 132,262,129.86
  5. Step 5: Solve for x
    x = 132,262,129.86/12,842.64
  6. Step 6: Final answer
    x = 10,298.67

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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.