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Finding the Fourth Proportional to 19,546.92, 29,314.80 and 5,506.02

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Solution

The fourth proportional to 19,546.92, 29,314.80 and 5,506.02 is: 8,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.92 : 29,314.80 = 5,506.02 : x
  2. Step 2: Convert to fraction form
    19,546.92/29,314.80 = 5,506.02/x
  3. Step 3: Cross multiply
    19,546.92x = 29,314.80 × 5,506.02
  4. Step 4: Simplify right side
    19,546.92x = 161,407,875.10
  5. Step 5: Solve for x
    x = 161,407,875.10/19,546.92
  6. Step 6: Final answer
    x = 8,257.46

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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.