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Finding the Fourth Proportional to 21,155.97, 31,735.55 and 7,116.04

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Solution

The fourth proportional to 21,155.97, 31,735.55 and 7,116.04 is: 10,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,155.97 : 31,735.55 = 7,116.04 : x
  2. Step 2: Convert to fraction form
    21,155.97/31,735.55 = 7,116.04/x
  3. Step 3: Cross multiply
    21,155.97x = 31,735.55 × 7,116.04
  4. Step 4: Simplify right side
    21,155.97x = 225,831,443.22
  5. Step 5: Solve for x
    x = 225,831,443.22/21,155.97
  6. Step 6: Final answer
    x = 10,674.60

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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.