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Finding the Fourth Proportional to 11,553.68, 17,330.24 and 4,156.72

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Solution

The fourth proportional to 11,553.68, 17,330.24 and 4,156.72 is: 6,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.68 : 17,330.24 = 4,156.72 : x
  2. Step 2: Convert to fraction form
    11,553.68/17,330.24 = 4,156.72/x
  3. Step 3: Cross multiply
    11,553.68x = 17,330.24 × 4,156.72
  4. Step 4: Simplify right side
    11,553.68x = 72,036,955.21
  5. Step 5: Solve for x
    x = 72,036,955.21/11,553.68
  6. Step 6: Final answer
    x = 6,234.98

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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.