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Finding the Fourth Proportional to 23,048.40, 31,809.82 and 12,978.80

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Solution

The fourth proportional to 23,048.40, 31,809.82 and 12,978.80 is: 17,912.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.40 : 31,809.82 = 12,978.80 : x
  2. Step 2: Convert to fraction form
    23,048.40/31,809.82 = 12,978.80/x
  3. Step 3: Cross multiply
    23,048.40x = 31,809.82 × 12,978.80
  4. Step 4: Simplify right side
    23,048.40x = 412,853,291.82
  5. Step 5: Solve for x
    x = 412,853,291.82/23,048.40
  6. Step 6: Final answer
    x = 17,912.45

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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.