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Finding the Fourth Proportional to 13,523.96, 20,264.70 and 11,434.16

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Solution

The fourth proportional to 13,523.96, 20,264.70 and 11,434.16 is: 17,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.96 : 20,264.70 = 11,434.16 : x
  2. Step 2: Convert to fraction form
    13,523.96/20,264.70 = 11,434.16/x
  3. Step 3: Cross multiply
    13,523.96x = 20,264.70 × 11,434.16
  4. Step 4: Simplify right side
    13,523.96x = 231,709,822.15
  5. Step 5: Solve for x
    x = 231,709,822.15/13,523.96
  6. Step 6: Final answer
    x = 17,133.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.