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Finding the Fourth Proportional to 23,116.10, 31,900.02 and 12,505.64

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Solution

The fourth proportional to 23,116.10, 31,900.02 and 12,505.64 is: 17,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.10 : 31,900.02 = 12,505.64 : x
  2. Step 2: Convert to fraction form
    23,116.10/31,900.02 = 12,505.64/x
  3. Step 3: Cross multiply
    23,116.10x = 31,900.02 × 12,505.64
  4. Step 4: Simplify right side
    23,116.10x = 398,930,166.11
  5. Step 5: Solve for x
    x = 398,930,166.11/23,116.10
  6. Step 6: Final answer
    x = 17,257.68

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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.