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Finding the Fourth Proportional to 23,037.69, 31,792.07 and 12,966.28

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Solution

The fourth proportional to 23,037.69, 31,792.07 and 12,966.28 is: 17,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,037.69 : 31,792.07 = 12,966.28 : x
  2. Step 2: Convert to fraction form
    23,037.69/31,792.07 = 12,966.28/x
  3. Step 3: Cross multiply
    23,037.69x = 31,792.07 × 12,966.28
  4. Step 4: Simplify right side
    23,037.69x = 412,224,797.87
  5. Step 5: Solve for x
    x = 412,224,797.87/23,037.69
  6. Step 6: Final answer
    x = 17,893.49

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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.