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Finding the Fourth Proportional to 23,493.60, 32,424.72 and 13,424.16

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Solution

The fourth proportional to 23,493.60, 32,424.72 and 13,424.16 is: 18,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493.60 : 32,424.72 = 13,424.16 : x
  2. Step 2: Convert to fraction form
    23,493.60/32,424.72 = 13,424.16/x
  3. Step 3: Cross multiply
    23,493.60x = 32,424.72 × 13,424.16
  4. Step 4: Simplify right side
    23,493.60x = 435,274,629.24
  5. Step 5: Solve for x
    x = 435,274,629.24/23,493.60
  6. Step 6: Final answer
    x = 18,527.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.