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Finding the Fourth Proportional to 16,712, 23,062.56 and 9,997.91

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Solution

The fourth proportional to 16,712, 23,062.56 and 9,997.91 is: 13,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712 : 23,062.56 = 9,997.91 : x
  2. Step 2: Convert to fraction form
    16,712/23,062.56 = 9,997.91/x
  3. Step 3: Cross multiply
    16,712x = 23,062.56 × 9,997.91
  4. Step 4: Simplify right side
    16,712x = 230,577,399.25
  5. Step 5: Solve for x
    x = 230,577,399.25/16,712
  6. Step 6: Final answer
    x = 13,797.12

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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.