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Finding the Fourth Proportional to 23,050.41, 31,812.59 and 12,980.82

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Solution

The fourth proportional to 23,050.41, 31,812.59 and 12,980.82 is: 17,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050.41 : 31,812.59 = 12,980.82 : x
  2. Step 2: Convert to fraction form
    23,050.41/31,812.59 = 12,980.82/x
  3. Step 3: Cross multiply
    23,050.41x = 31,812.59 × 12,980.82
  4. Step 4: Simplify right side
    23,050.41x = 412,953,504.52
  5. Step 5: Solve for x
    x = 412,953,504.52/23,050.41
  6. Step 6: Final answer
    x = 17,915.23

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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.