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Finding the Fourth Proportional to 23,534.88, 32,478.54 and 12,924.96

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Solution

The fourth proportional to 23,534.88, 32,478.54 and 12,924.96 is: 17,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.88 : 32,478.54 = 12,924.96 : x
  2. Step 2: Convert to fraction form
    23,534.88/32,478.54 = 12,924.96/x
  3. Step 3: Cross multiply
    23,534.88x = 32,478.54 × 12,924.96
  4. Step 4: Simplify right side
    23,534.88x = 419,783,830.36
  5. Step 5: Solve for x
    x = 419,783,830.36/23,534.88
  6. Step 6: Final answer
    x = 17,836.67

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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.