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Finding the Fourth Proportional to 23,050.73, 31,809.70 and 12,980.16

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Solution

The fourth proportional to 23,050.73, 31,809.70 and 12,980.16 is: 17,912.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050.73 : 31,809.70 = 12,980.16 : x
  2. Step 2: Convert to fraction form
    23,050.73/31,809.70 = 12,980.16/x
  3. Step 3: Cross multiply
    23,050.73x = 31,809.70 × 12,980.16
  4. Step 4: Simplify right side
    23,050.73x = 412,894,995.55
  5. Step 5: Solve for x
    x = 412,894,995.55/23,050.73
  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.