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Finding the Fourth Proportional to 23,118.16, 31,903.57 and 12,769.88

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Solution

The fourth proportional to 23,118.16, 31,903.57 and 12,769.88 is: 17,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,118.16 : 31,903.57 = 12,769.88 : x
  2. Step 2: Convert to fraction form
    23,118.16/31,903.57 = 12,769.88/x
  3. Step 3: Cross multiply
    23,118.16x = 31,903.57 × 12,769.88
  4. Step 4: Simplify right side
    23,118.16x = 407,404,760.47
  5. Step 5: Solve for x
    x = 407,404,760.47/23,118.16
  6. Step 6: Final answer
    x = 17,622.72

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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.