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Finding the Fourth Proportional to 13,018.99, 17,966.55 and 7,980.31

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Solution

The fourth proportional to 13,018.99, 17,966.55 and 7,980.31 is: 11,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018.99 : 17,966.55 = 7,980.31 : x
  2. Step 2: Convert to fraction form
    13,018.99/17,966.55 = 7,980.31/x
  3. Step 3: Cross multiply
    13,018.99x = 17,966.55 × 7,980.31
  4. Step 4: Simplify right side
    13,018.99x = 143,378,705.54
  5. Step 5: Solve for x
    x = 143,378,705.54/13,018.99
  6. Step 6: Final answer
    x = 11,013.05

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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.