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Finding the Fourth Proportional to 11,482.38, 17,213.58 and 9,738.72

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Solution

The fourth proportional to 11,482.38, 17,213.58 and 9,738.72 is: 14,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.38 : 17,213.58 = 9,738.72 : x
  2. Step 2: Convert to fraction form
    11,482.38/17,213.58 = 9,738.72/x
  3. Step 3: Cross multiply
    11,482.38x = 17,213.58 × 9,738.72
  4. Step 4: Simplify right side
    11,482.38x = 167,638,235.82
  5. Step 5: Solve for x
    x = 167,638,235.82/11,482.38
  6. Step 6: Final answer
    x = 14,599.61

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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.