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Finding the Fourth Proportional to 13,820.18, 20,726.46 and 3,822.53

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Solution

The fourth proportional to 13,820.18, 20,726.46 and 3,822.53 is: 5,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.18 : 20,726.46 = 3,822.53 : x
  2. Step 2: Convert to fraction form
    13,820.18/20,726.46 = 3,822.53/x
  3. Step 3: Cross multiply
    13,820.18x = 20,726.46 × 3,822.53
  4. Step 4: Simplify right side
    13,820.18x = 79,227,411.51
  5. Step 5: Solve for x
    x = 79,227,411.51/13,820.18
  6. Step 6: Final answer
    x = 5,732.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.