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Finding the Fourth Proportional to 12,981.57, 17,915.90 and 7,949.12

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Solution

The fourth proportional to 12,981.57, 17,915.90 and 7,949.12 is: 10,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.57 : 17,915.90 = 7,949.12 : x
  2. Step 2: Convert to fraction form
    12,981.57/17,915.90 = 7,949.12/x
  3. Step 3: Cross multiply
    12,981.57x = 17,915.90 × 7,949.12
  4. Step 4: Simplify right side
    12,981.57x = 142,415,509.68
  5. Step 5: Solve for x
    x = 142,415,509.68/12,981.57
  6. Step 6: Final answer
    x = 10,970.59

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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.