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Finding the Fourth Proportional to 15,822.54, 21,786.84 and 13,821.48

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Solution

The fourth proportional to 15,822.54, 21,786.84 and 13,821.48 is: 19,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.54 : 21,786.84 = 13,821.48 : x
  2. Step 2: Convert to fraction form
    15,822.54/21,786.84 = 13,821.48/x
  3. Step 3: Cross multiply
    15,822.54x = 21,786.84 × 13,821.48
  4. Step 4: Simplify right side
    15,822.54x = 301,126,373.32
  5. Step 5: Solve for x
    x = 301,126,373.32/15,822.54
  6. Step 6: Final answer
    x = 19,031.48

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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.