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Finding the Fourth Proportional to 20,451.12, 30,715.56 and 12,714

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Solution

The fourth proportional to 20,451.12, 30,715.56 and 12,714 is: 19,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451.12 : 30,715.56 = 12,714 : x
  2. Step 2: Convert to fraction form
    20,451.12/30,715.56 = 12,714/x
  3. Step 3: Cross multiply
    20,451.12x = 30,715.56 × 12,714
  4. Step 4: Simplify right side
    20,451.12x = 390,517,629.84
  5. Step 5: Solve for x
    x = 390,517,629.84/20,451.12
  6. Step 6: Final answer
    x = 19,095.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.