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Finding the Fourth Proportional to 23,521.78, 32,460.24 and 12,912.40

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Solution

The fourth proportional to 23,521.78, 32,460.24 and 12,912.40 is: 17,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,521.78 : 32,460.24 = 12,912.40 : x
  2. Step 2: Convert to fraction form
    23,521.78/32,460.24 = 12,912.40/x
  3. Step 3: Cross multiply
    23,521.78x = 32,460.24 × 12,912.40
  4. Step 4: Simplify right side
    23,521.78x = 419,139,602.98
  5. Step 5: Solve for x
    x = 419,139,602.98/23,521.78
  6. Step 6: Final answer
    x = 17,819.21

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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.