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Finding the Fourth Proportional to 13,011.60, 17,964.48 and 10,022.16

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Solution

The fourth proportional to 13,011.60, 17,964.48 and 10,022.16 is: 13,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.60 : 17,964.48 = 10,022.16 : x
  2. Step 2: Convert to fraction form
    13,011.60/17,964.48 = 10,022.16/x
  3. Step 3: Cross multiply
    13,011.60x = 17,964.48 × 10,022.16
  4. Step 4: Simplify right side
    13,011.60x = 180,042,892.88
  5. Step 5: Solve for x
    x = 180,042,892.88/13,011.60
  6. Step 6: Final answer
    x = 13,837.11

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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.