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Finding the Fourth Proportional to 23,107.99, 31,889.10 and 12,497.68

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Solution

The fourth proportional to 23,107.99, 31,889.10 and 12,497.68 is: 17,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.99 : 31,889.10 = 12,497.68 : x
  2. Step 2: Convert to fraction form
    23,107.99/31,889.10 = 12,497.68/x
  3. Step 3: Cross multiply
    23,107.99x = 31,889.10 × 12,497.68
  4. Step 4: Simplify right side
    23,107.99x = 398,539,767.29
  5. Step 5: Solve for x
    x = 398,539,767.29/23,107.99
  6. Step 6: Final answer
    x = 17,246.84

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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.