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Finding the Fourth Proportional to 29,013.82, 40,039.05 and 16,438.57

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Solution

The fourth proportional to 29,013.82, 40,039.05 and 16,438.57 is: 22,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,013.82 : 40,039.05 = 16,438.57 : x
  2. Step 2: Convert to fraction form
    29,013.82/40,039.05 = 16,438.57/x
  3. Step 3: Cross multiply
    29,013.82x = 40,039.05 × 16,438.57
  4. Step 4: Simplify right side
    29,013.82x = 658,184,726.16
  5. Step 5: Solve for x
    x = 658,184,726.16/29,013.82
  6. Step 6: Final answer
    x = 22,685.21

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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.