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Finding the Fourth Proportional to 21,822.34, 30,113.49 and 12,870.22

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Solution

The fourth proportional to 21,822.34, 30,113.49 and 12,870.22 is: 17,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.34 : 30,113.49 = 12,870.22 : x
  2. Step 2: Convert to fraction form
    21,822.34/30,113.49 = 12,870.22/x
  3. Step 3: Cross multiply
    21,822.34x = 30,113.49 × 12,870.22
  4. Step 4: Simplify right side
    21,822.34x = 387,567,241.27
  5. Step 5: Solve for x
    x = 387,567,241.27/21,822.34
  6. Step 6: Final answer
    x = 17,760.11

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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.