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Finding the Fourth Proportional to 23,004.67, 31,737.45 and 12,930.80

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Solution

The fourth proportional to 23,004.67, 31,737.45 and 12,930.80 is: 17,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004.67 : 31,737.45 = 12,930.80 : x
  2. Step 2: Convert to fraction form
    23,004.67/31,737.45 = 12,930.80/x
  3. Step 3: Cross multiply
    23,004.67x = 31,737.45 × 12,930.80
  4. Step 4: Simplify right side
    23,004.67x = 410,390,618.46
  5. Step 5: Solve for x
    x = 410,390,618.46/23,004.67
  6. Step 6: Final answer
    x = 17,839.45

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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.