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Finding the Fourth Proportional to 26,483.84, 36,549.66 and 16,414.26

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Solution

The fourth proportional to 26,483.84, 36,549.66 and 16,414.26 is: 22,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,483.84 : 36,549.66 = 16,414.26 : x
  2. Step 2: Convert to fraction form
    26,483.84/36,549.66 = 16,414.26/x
  3. Step 3: Cross multiply
    26,483.84x = 36,549.66 × 16,414.26
  4. Step 4: Simplify right side
    26,483.84x = 599,935,622.15
  5. Step 5: Solve for x
    x = 599,935,622.15/26,483.84
  6. Step 6: Final answer
    x = 22,652.89

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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.