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Finding the Fourth Proportional to 23,145.32, 31,940.51 and 12,534.99

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Solution

The fourth proportional to 23,145.32, 31,940.51 and 12,534.99 is: 17,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.32 : 31,940.51 = 12,534.99 : x
  2. Step 2: Convert to fraction form
    23,145.32/31,940.51 = 12,534.99/x
  3. Step 3: Cross multiply
    23,145.32x = 31,940.51 × 12,534.99
  4. Step 4: Simplify right side
    23,145.32x = 400,373,910.77
  5. Step 5: Solve for x
    x = 400,373,910.77/23,145.32
  6. Step 6: Final answer
    x = 17,298.27

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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.