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Finding the Fourth Proportional to 13,018.29, 17,964.15 and 7,640.15

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Solution

The fourth proportional to 13,018.29, 17,964.15 and 7,640.15 is: 10,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018.29 : 17,964.15 = 7,640.15 : x
  2. Step 2: Convert to fraction form
    13,018.29/17,964.15 = 7,640.15/x
  3. Step 3: Cross multiply
    13,018.29x = 17,964.15 × 7,640.15
  4. Step 4: Simplify right side
    13,018.29x = 137,248,797.14
  5. Step 5: Solve for x
    x = 137,248,797.14/13,018.29
  6. Step 6: Final answer
    x = 10,542.77

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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.