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Finding the Fourth Proportional to 19,722.68, 29,583.01 and 7,241.75

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Solution

The fourth proportional to 19,722.68, 29,583.01 and 7,241.75 is: 10,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722.68 : 29,583.01 = 7,241.75 : x
  2. Step 2: Convert to fraction form
    19,722.68/29,583.01 = 7,241.75/x
  3. Step 3: Cross multiply
    19,722.68x = 29,583.01 × 7,241.75
  4. Step 4: Simplify right side
    19,722.68x = 214,232,671.91
  5. Step 5: Solve for x
    x = 214,232,671.91/19,722.68
  6. Step 6: Final answer
    x = 10,862.25

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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.