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Finding the Fourth Proportional to 13,262.32, 19,896 and 3,902.32

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Solution

The fourth proportional to 13,262.32, 19,896 and 3,902.32 is: 5,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.32 : 19,896 = 3,902.32 : x
  2. Step 2: Convert to fraction form
    13,262.32/19,896 = 3,902.32/x
  3. Step 3: Cross multiply
    13,262.32x = 19,896 × 3,902.32
  4. Step 4: Simplify right side
    13,262.32x = 77,640,558.72
  5. Step 5: Solve for x
    x = 77,640,558.72/13,262.32
  6. Step 6: Final answer
    x = 5,854.22

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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.