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Finding the Fourth Proportional to 16,161, 22,302.54 and 9,876.84

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Solution

The fourth proportional to 16,161, 22,302.54 and 9,876.84 is: 13,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161 : 22,302.54 = 9,876.84 : x
  2. Step 2: Convert to fraction form
    16,161/22,302.54 = 9,876.84/x
  3. Step 3: Cross multiply
    16,161x = 22,302.54 × 9,876.84
  4. Step 4: Simplify right side
    16,161x = 220,278,619.17
  5. Step 5: Solve for x
    x = 220,278,619.17/16,161
  6. Step 6: Final answer
    x = 13,630.26

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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.