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Finding the Fourth Proportional to 22,955.94, 34,438.77 and 7,160.54

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Solution

The fourth proportional to 22,955.94, 34,438.77 and 7,160.54 is: 10,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,955.94 : 34,438.77 = 7,160.54 : x
  2. Step 2: Convert to fraction form
    22,955.94/34,438.77 = 7,160.54/x
  3. Step 3: Cross multiply
    22,955.94x = 34,438.77 × 7,160.54
  4. Step 4: Simplify right side
    22,955.94x = 246,600,017.94
  5. Step 5: Solve for x
    x = 246,600,017.94/22,955.94
  6. Step 6: Final answer
    x = 10,742.32

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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.