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Finding the Fourth Proportional to 29,876.49, 41,228.06 and 16,447.40

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Solution

The fourth proportional to 29,876.49, 41,228.06 and 16,447.40 is: 22,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,876.49 : 41,228.06 = 16,447.40 : x
  2. Step 2: Convert to fraction form
    29,876.49/41,228.06 = 16,447.40/x
  3. Step 3: Cross multiply
    29,876.49x = 41,228.06 × 16,447.40
  4. Step 4: Simplify right side
    29,876.49x = 678,094,394.04
  5. Step 5: Solve for x
    x = 678,094,394.04/29,876.49
  6. Step 6: Final answer
    x = 22,696.59

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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.