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Finding the Fourth Proportional to 23,119.62, 31,905.06 and 12,509.22

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Solution

The fourth proportional to 23,119.62, 31,905.06 and 12,509.22 is: 17,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,119.62 : 31,905.06 = 12,509.22 : x
  2. Step 2: Convert to fraction form
    23,119.62/31,905.06 = 12,509.22/x
  3. Step 3: Cross multiply
    23,119.62x = 31,905.06 × 12,509.22
  4. Step 4: Simplify right side
    23,119.62x = 399,107,414.65
  5. Step 5: Solve for x
    x = 399,107,414.65/23,119.62
  6. Step 6: Final answer
    x = 17,262.72

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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.