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Finding the Fourth Proportional to 23,534.45, 32,477.74 and 12,924.15

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Solution

The fourth proportional to 23,534.45, 32,477.74 and 12,924.15 is: 17,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.45 : 32,477.74 = 12,924.15 : x
  2. Step 2: Convert to fraction form
    23,534.45/32,477.74 = 12,924.15/x
  3. Step 3: Cross multiply
    23,534.45x = 32,477.74 × 12,924.15
  4. Step 4: Simplify right side
    23,534.45x = 419,747,183.42
  5. Step 5: Solve for x
    x = 419,747,183.42/23,534.45
  6. Step 6: Final answer
    x = 17,835.44

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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.