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Finding the Fourth Proportional to 13,025.76, 17,977.02 and 7,362.78

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Solution

The fourth proportional to 13,025.76, 17,977.02 and 7,362.78 is: 10,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.76 : 17,977.02 = 7,362.78 : x
  2. Step 2: Convert to fraction form
    13,025.76/17,977.02 = 7,362.78/x
  3. Step 3: Cross multiply
    13,025.76x = 17,977.02 × 7,362.78
  4. Step 4: Simplify right side
    13,025.76x = 132,360,843.32
  5. Step 5: Solve for x
    x = 132,360,843.32/13,025.76
  6. Step 6: Final answer
    x = 10,161.47

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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.