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Finding the Fourth Proportional to 13,553.40, 20,330.64 and 5,234.16

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Solution

The fourth proportional to 13,553.40, 20,330.64 and 5,234.16 is: 7,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,553.40 : 20,330.64 = 5,234.16 : x
  2. Step 2: Convert to fraction form
    13,553.40/20,330.64 = 5,234.16/x
  3. Step 3: Cross multiply
    13,553.40x = 20,330.64 × 5,234.16
  4. Step 4: Simplify right side
    13,553.40x = 106,413,822.66
  5. Step 5: Solve for x
    x = 106,413,822.66/13,553.40
  6. Step 6: Final answer
    x = 7,851.45

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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.