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Finding the Fourth Proportional to 13,564.80, 18,681.12 and 11,662.56

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Solution

The fourth proportional to 13,564.80, 18,681.12 and 11,662.56 is: 16,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.80 : 18,681.12 = 11,662.56 : x
  2. Step 2: Convert to fraction form
    13,564.80/18,681.12 = 11,662.56/x
  3. Step 3: Cross multiply
    13,564.80x = 18,681.12 × 11,662.56
  4. Step 4: Simplify right side
    13,564.80x = 217,869,682.87
  5. Step 5: Solve for x
    x = 217,869,682.87/13,564.80
  6. Step 6: Final answer
    x = 16,061.40

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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.