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Finding the Fourth Proportional to 21,977.40, 32,942.86 and 7,182.35

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Solution

The fourth proportional to 21,977.40, 32,942.86 and 7,182.35 is: 10,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.40 : 32,942.86 = 7,182.35 : x
  2. Step 2: Convert to fraction form
    21,977.40/32,942.86 = 7,182.35/x
  3. Step 3: Cross multiply
    21,977.40x = 32,942.86 × 7,182.35
  4. Step 4: Simplify right side
    21,977.40x = 236,607,150.52
  5. Step 5: Solve for x
    x = 236,607,150.52/21,977.40
  6. Step 6: Final answer
    x = 10,765.93

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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.