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Finding the Fourth Proportional to 23,575.46, 32,533.23 and 12,964.46

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Solution

The fourth proportional to 23,575.46, 32,533.23 and 12,964.46 is: 17,890.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,575.46 : 32,533.23 = 12,964.46 : x
  2. Step 2: Convert to fraction form
    23,575.46/32,533.23 = 12,964.46/x
  3. Step 3: Cross multiply
    23,575.46x = 32,533.23 × 12,964.46
  4. Step 4: Simplify right side
    23,575.46x = 421,775,759.01
  5. Step 5: Solve for x
    x = 421,775,759.01/23,575.46
  6. Step 6: Final answer
    x = 17,890.46

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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.