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Finding the Fourth Proportional to 23,786.24, 32,822.16 and 13,718

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Solution

The fourth proportional to 23,786.24, 32,822.16 and 13,718 is: 18,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.24 : 32,822.16 = 13,718 : x
  2. Step 2: Convert to fraction form
    23,786.24/32,822.16 = 13,718/x
  3. Step 3: Cross multiply
    23,786.24x = 32,822.16 × 13,718
  4. Step 4: Simplify right side
    23,786.24x = 450,254,390.88
  5. Step 5: Solve for x
    x = 450,254,390.88/23,786.24
  6. Step 6: Final answer
    x = 18,929.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.