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Finding the Fourth Proportional to 13,564.96, 20,214.31 and 13,119.06

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Solution

The fourth proportional to 13,564.96, 20,214.31 and 13,119.06 is: 19,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.96 : 20,214.31 = 13,119.06 : x
  2. Step 2: Convert to fraction form
    13,564.96/20,214.31 = 13,119.06/x
  3. Step 3: Cross multiply
    13,564.96x = 20,214.31 × 13,119.06
  4. Step 4: Simplify right side
    13,564.96x = 265,192,579.08
  5. Step 5: Solve for x
    x = 265,192,579.08/13,564.96
  6. Step 6: Final answer
    x = 19,549.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.