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Finding the Fourth Proportional to 17,712, 24,427.92 and 11,745.16

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Solution

The fourth proportional to 17,712, 24,427.92 and 11,745.16 is: 16,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 24,427.92 = 11,745.16 : x
  2. Step 2: Convert to fraction form
    17,712/24,427.92 = 11,745.16/x
  3. Step 3: Cross multiply
    17,712x = 24,427.92 × 11,745.16
  4. Step 4: Simplify right side
    17,712x = 286,909,828.87
  5. Step 5: Solve for x
    x = 286,909,828.87/17,712
  6. Step 6: Final answer
    x = 16,198.61

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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.