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Finding the Fourth Proportional to 13,730.34, 18,947.97 and 7,442.76

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Solution

The fourth proportional to 13,730.34, 18,947.97 and 7,442.76 is: 10,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.34 : 18,947.97 = 7,442.76 : x
  2. Step 2: Convert to fraction form
    13,730.34/18,947.97 = 7,442.76/x
  3. Step 3: Cross multiply
    13,730.34x = 18,947.97 × 7,442.76
  4. Step 4: Simplify right side
    13,730.34x = 141,025,193.20
  5. Step 5: Solve for x
    x = 141,025,193.20/13,730.34
  6. Step 6: Final answer
    x = 10,271.06

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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.