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Finding the Fourth Proportional to 23,119.61, 31,905.09 and 12,509.22

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Solution

The fourth proportional to 23,119.61, 31,905.09 and 12,509.22 is: 17,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,119.61 : 31,905.09 = 12,509.22 : x
  2. Step 2: Convert to fraction form
    23,119.61/31,905.09 = 12,509.22/x
  3. Step 3: Cross multiply
    23,119.61x = 31,905.09 × 12,509.22
  4. Step 4: Simplify right side
    23,119.61x = 399,107,789.93
  5. Step 5: Solve for x
    x = 399,107,789.93/23,119.61
  6. Step 6: Final answer
    x = 17,262.74

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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.