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Finding the Fourth Proportional to 23,102.10, 31,880.88 and 12,491.64

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Solution

The fourth proportional to 23,102.10, 31,880.88 and 12,491.64 is: 17,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.10 : 31,880.88 = 12,491.64 : x
  2. Step 2: Convert to fraction form
    23,102.10/31,880.88 = 12,491.64/x
  3. Step 3: Cross multiply
    23,102.10x = 31,880.88 × 12,491.64
  4. Step 4: Simplify right side
    23,102.10x = 398,244,475.84
  5. Step 5: Solve for x
    x = 398,244,475.84/23,102.10
  6. Step 6: Final answer
    x = 17,238.45

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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.