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Finding the Fourth Proportional to 20,037.12, 27,648 and 12,579.84

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Solution

The fourth proportional to 20,037.12, 27,648 and 12,579.84 is: 17,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037.12 : 27,648 = 12,579.84 : x
  2. Step 2: Convert to fraction form
    20,037.12/27,648 = 12,579.84/x
  3. Step 3: Cross multiply
    20,037.12x = 27,648 × 12,579.84
  4. Step 4: Simplify right side
    20,037.12x = 347,807,416.32
  5. Step 5: Solve for x
    x = 347,807,416.32/20,037.12
  6. Step 6: Final answer
    x = 17,358.15

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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.