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Finding the Fourth Proportional to 23,534.42, 32,477.73 and 12,924.28

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Solution

The fourth proportional to 23,534.42, 32,477.73 and 12,924.28 is: 17,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.42 : 32,477.73 = 12,924.28 : x
  2. Step 2: Convert to fraction form
    23,534.42/32,477.73 = 12,924.28/x
  3. Step 3: Cross multiply
    23,534.42x = 32,477.73 × 12,924.28
  4. Step 4: Simplify right side
    23,534.42x = 419,751,357.48
  5. Step 5: Solve for x
    x = 419,751,357.48/23,534.42
  6. Step 6: Final answer
    x = 17,835.63

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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.