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Finding the Fourth Proportional to 29,513.21, 40,728.23 and 16,084.47

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Solution

The fourth proportional to 29,513.21, 40,728.23 and 16,084.47 is: 22,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,513.21 : 40,728.23 = 16,084.47 : x
  2. Step 2: Convert to fraction form
    29,513.21/40,728.23 = 16,084.47/x
  3. Step 3: Cross multiply
    29,513.21x = 40,728.23 × 16,084.47
  4. Step 4: Simplify right side
    29,513.21x = 655,091,993.59
  5. Step 5: Solve for x
    x = 655,091,993.59/29,513.21
  6. Step 6: Final answer
    x = 22,196.57

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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.