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Finding the Fourth Proportional to 23,522.37, 32,461.29 and 12,912.99

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Solution

The fourth proportional to 23,522.37, 32,461.29 and 12,912.99 is: 17,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.37 : 32,461.29 = 12,912.99 : x
  2. Step 2: Convert to fraction form
    23,522.37/32,461.29 = 12,912.99/x
  3. Step 3: Cross multiply
    23,522.37x = 32,461.29 × 12,912.99
  4. Step 4: Simplify right side
    23,522.37x = 419,172,313.16
  5. Step 5: Solve for x
    x = 419,172,313.16/23,522.37
  6. Step 6: Final answer
    x = 17,820.16

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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.