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Finding the Fourth Proportional to 19,705.14, 29,557.62 and 4,914.03

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Solution

The fourth proportional to 19,705.14, 29,557.62 and 4,914.03 is: 7,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.14 : 29,557.62 = 4,914.03 : x
  2. Step 2: Convert to fraction form
    19,705.14/29,557.62 = 4,914.03/x
  3. Step 3: Cross multiply
    19,705.14x = 29,557.62 × 4,914.03
  4. Step 4: Simplify right side
    19,705.14x = 145,247,031.41
  5. Step 5: Solve for x
    x = 145,247,031.41/19,705.14
  6. Step 6: Final answer
    x = 7,371.02

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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.