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Finding the Fourth Proportional to 11,832.35, 17,748.02 and 2,947.72

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Solution

The fourth proportional to 11,832.35, 17,748.02 and 2,947.72 is: 4,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.35 : 17,748.02 = 2,947.72 : x
  2. Step 2: Convert to fraction form
    11,832.35/17,748.02 = 2,947.72/x
  3. Step 3: Cross multiply
    11,832.35x = 17,748.02 × 2,947.72
  4. Step 4: Simplify right side
    11,832.35x = 52,316,237.68
  5. Step 5: Solve for x
    x = 52,316,237.68/11,832.35
  6. Step 6: Final answer
    x = 4,421.46

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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.