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Finding the Fourth Proportional to 29,962.92, 41,348.97 and 16,534.18

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Solution

The fourth proportional to 29,962.92, 41,348.97 and 16,534.18 is: 22,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962.92 : 41,348.97 = 16,534.18 : x
  2. Step 2: Convert to fraction form
    29,962.92/41,348.97 = 16,534.18/x
  3. Step 3: Cross multiply
    29,962.92x = 41,348.97 × 16,534.18
  4. Step 4: Simplify right side
    29,962.92x = 683,671,106.05
  5. Step 5: Solve for x
    x = 683,671,106.05/29,962.92
  6. Step 6: Final answer
    x = 22,817.24

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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.