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Finding the Fourth Proportional to 20,671.58, 31,007.30 and 5,678.71

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Solution

The fourth proportional to 20,671.58, 31,007.30 and 5,678.71 is: 8,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.58 : 31,007.30 = 5,678.71 : x
  2. Step 2: Convert to fraction form
    20,671.58/31,007.30 = 5,678.71/x
  3. Step 3: Cross multiply
    20,671.58x = 31,007.30 × 5,678.71
  4. Step 4: Simplify right side
    20,671.58x = 176,081,401.26
  5. Step 5: Solve for x
    x = 176,081,401.26/20,671.58
  6. Step 6: Final answer
    x = 8,518.04

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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.