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Finding the Fourth Proportional to 12,059.24, 16,641.76 and 7,023.56

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Solution

The fourth proportional to 12,059.24, 16,641.76 and 7,023.56 is: 9,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.24 : 16,641.76 = 7,023.56 : x
  2. Step 2: Convert to fraction form
    12,059.24/16,641.76 = 7,023.56/x
  3. Step 3: Cross multiply
    12,059.24x = 16,641.76 × 7,023.56
  4. Step 4: Simplify right side
    12,059.24x = 116,884,399.87
  5. Step 5: Solve for x
    x = 116,884,399.87/12,059.24
  6. Step 6: Final answer
    x = 9,692.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.