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Finding the Fourth Proportional to 13,024.50, 17,974.18 and 7,359.49

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Solution

The fourth proportional to 13,024.50, 17,974.18 and 7,359.49 is: 10,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.50 : 17,974.18 = 7,359.49 : x
  2. Step 2: Convert to fraction form
    13,024.50/17,974.18 = 7,359.49/x
  3. Step 3: Cross multiply
    13,024.50x = 17,974.18 × 7,359.49
  4. Step 4: Simplify right side
    13,024.50x = 132,280,734.63
  5. Step 5: Solve for x
    x = 132,280,734.63/13,024.50
  6. Step 6: Final answer
    x = 10,156.30

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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.