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Finding the Fourth Proportional to 13,236.42, 19,854 and 4,471.68

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Solution

The fourth proportional to 13,236.42, 19,854 and 4,471.68 is: 6,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,236.42 : 19,854 = 4,471.68 : x
  2. Step 2: Convert to fraction form
    13,236.42/19,854 = 4,471.68/x
  3. Step 3: Cross multiply
    13,236.42x = 19,854 × 4,471.68
  4. Step 4: Simplify right side
    13,236.42x = 88,780,734.72
  5. Step 5: Solve for x
    x = 88,780,734.72/13,236.42
  6. Step 6: Final answer
    x = 6,707.31

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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.