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Finding the Fourth Proportional to 29,206, 43,840.19 and 12,574.28

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Solution

The fourth proportional to 29,206, 43,840.19 and 12,574.28 is: 18,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206 : 43,840.19 = 12,574.28 : x
  2. Step 2: Convert to fraction form
    29,206/43,840.19 = 12,574.28/x
  3. Step 3: Cross multiply
    29,206x = 43,840.19 × 12,574.28
  4. Step 4: Simplify right side
    29,206x = 551,258,824.31
  5. Step 5: Solve for x
    x = 551,258,824.31/29,206
  6. Step 6: Final answer
    x = 18,874.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.